If f(3) = 2, find f^-1(2)

Help pls

Answers

Answer 1

Answer:

[tex]f^{-1}[/tex](2) is 3

Step-by-step explanation:

In the function f(x) = y, its inverse is f(y) = x

So to find the inverse of a function switch x and y

Example:

In f(1) = 2, x = 1 and y = 2

Its inverse is [tex]f^{-1}[/tex](y) = x

Then, [tex]f^{-1}[/tex](2) = 1

Let us use this rule to solve the question

∵ f(3) = 2

∴ x = 3 and y = 2

→ To find its inverse switch x and y

∵ [tex]f^{-1}[/tex](y) = x

[tex]f^{-1}[/tex](2) = 3


Related Questions

If one of y’all know the answer could you please tell me I would really appreciate it<3

Answers

the first one is the answer

What is the area of a semicircle with a diameter of 10 cm?

Answers

Answer:

39.27 cm²

Step-by-step explanation:

area of semi circle = π r² / 2

where r = 10/2 = 5 cm

area = π (5)² / 2

        = 39.27 cm²

Answer:

39.3 cm2

Step-by-step explanation:

diameter=radius/2= 10/2 = 5

area of semicircle=pi(r^2) / 2

=pi(5^2) / 2

=39.26...

=39.3

22a) PLEASE HELP BEST ANSWER BRAINLIEST

Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
a
What value of k makes these segments perpendicular?

Answers

Answer:

the answer is k=1

Step-by-step explanation:

If you write out the numbers from 0 to 40, how many times would you write the digit 3?

Answers

Four Times you'd say it

The numbers where there are 3 digits from 0 to 40 are

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

The digit 3 will be written thirteen times.

What is a number line?

It is the way of representing numbers on a line where there is an equal unit between each number.

We have,

Numbers from 0 to 40.

There is always a digit 3 in every ten consecutive numbers.

From 0 to 40 we have 4 ten consecutive numbers.

- 0 to 10

- 10 to 20

- 20 to 30

- 30 to 40

3, 13, 23, and 33. _____(1)

There is a digit of 3 in all the consecutive numbers from 30 to 39.

i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)

From (1) and (2) we have,

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

Thus,

The digit 3 will be written thirteen times.

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SUPER URGENT ANSWER BOTHHHHH QUESTIONS
I WILL DEF MARK BRAINLYEST
READ CARFULLY!

Answers

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

pls help pls ill mark brainliest

Answers

Answer:

Area/Circumference is the length of a circle!

Step-by-step explanation:

Answer: the answer is area/ circumference

Step-by-step explanation:

Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball’s total pay p after selling d dollars of software.

Answers

Answer:

P=0.08d+41,250

Step-by-step explanation:

The total amount earned, p which is the sum of the base salary and the commision on sale can be expressed as ;

p = 41250 + 0.08d

Given the Parameters :

Base salary = 41250Commission percentage = 8% = 0.08Amount of sales made = d

The total pay after selling software worth $d can be expressed thus :

Base salary + (commission percentage × amount of sales)

Total pay = 41250 + (0.08 × d)

p = 41250 + 0.08d

Therefore, the total pay, p is expressed as 41250 + 0.08d

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Is line l parallel to line m? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.

Answers

Answer:

yes, corresponding angles are congruent

Step-by-step explanation:


Anyone???

Mathematics

Answers

The slope is rise over run
The rise is 1
The run is 2
So the slope would be 1/2

Is 1¾ a rational numbers​

Answers

Answer:

Yes 1¾ is a rational number

Step-by-step explanation:

1¾ is written as a fraction of two integer and is therefore rational.

Use the digits 5, 3 and 2 two only once in each number how many different three digit numbers can you make

Answers

53, 52, 35, 32, 25, 23

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.

Answers

Answer:

B, D, E

Step-by-step explanation:

The times and distances that represents the travelers motion are;

At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.

The given parameters;

[tex]D(t) = 300t \ + \ 125, \ \ \ \ \ 0\leq t\leq 2.5\\\\D(t) = 875, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.5 \leq t\leq 3.5 \\\\D(t) = 75t + 612.5 , \ \ \ \ \ \ 3.5 \leq t\leq 6 \\\\[/tex]

From the given distance function, we can calculate the distance traveled at each time;

at 0 hours, the starting distance of the traveler is calculated as;

[tex]D = 300(0) + 125\\\\D = 125 \ miles[/tex]

at 2 hours, the distance traveled is calculated as;

[tex]D = 300(2) + 125\\\\D = 725 \ miles[/tex]

at 2.5 hours, the distance traveled by the traveler is calculated as;

[tex]D = 300(2.5) + 125\\\\D = 875 \ miles[/tex]

At 3 hours, the distance traveled by the traveler is calculated as;

[tex]D(t ) = 875 \ \ \ \ \ 2.5 \leq t \leq 3.5\\\\D(3) = 875 \ miles[/tex]

The total distance from home after 6 hours is calculated as follows;

[tex]D = 75(6) \ + \ 612.5\\\\D = 1,062.5 \ miles[/tex]

Thus, the times and distances that represents the travelers motion are;

At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.

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Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST

Answers

Answer:  2d

=========================================

Work Shown:

d = number of days of his vacation

1 day = 1*2 = 2 outfits

2 days = 2*2 = 4 outfits

3 days = 3*2 = 6 outfits

4 days = 4*2 = 8 outfits

5 days = 5*2 = 10 outfits

and so on.

In general we can say,

d days = d*2 = 2d outfits

d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.

The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.

The expression for the total number of outfits is 2d

The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.

In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.

For example, if Tyler's vacation is 7 days long, the expression 2d would yield:

2 * 7 = 14

Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.

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Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. PLS HELP ILL GIVE BRAINLIEST

Answers

Answer:

x is eighteen

y is fifty four

Answer:

x= 18 degrees and y=54 degrees

Step-by-step explanation:

Look at the top of the line AB. You can see that

3x+y+72=180

Now, look at the left side of the line CD. You can see that

y+90+2x=180

Hence, you have 2 equations in 2 unknows, which are possible to solve.

In resume, the 2 equations are:

3x+y+72=180

2x+y+90=180

By substracting the second equation to the first one, it yields

x-18=0

which implies x=18.

Now, we can susbstitute this value on the fist equation:

3(18)+y+72=180

54+y+72=180

y+126=180

y=180-126

y=54

We can corroborate these result in the second equation:

2(18)+54+90=

36+54+90=

90+90=

180.

Thats right !!

If a lost male child is found who is 145 cm tall, determine an interval of likely ages for the child. Give whole numbers.

≤ age ≤

Answers

We can deduce here that for a height of 145 cm, a likely interval of ages could be: 12 ≤ age ≤ 15

What is inequality?

In mathematics, an inequality is a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than or less than another. It represents a comparison or a difference in values.

For a height of 145 cm, a likely interval of ages could be:

12 ≤ age ≤ 15

This range assumes that the child's height falls within the average height range for boys aged 12 to 15 years. However, it's important to consider that individual variations and growth patterns can influence a child's height, so this interval should be interpreted with caution.

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3/4x+2-1/3x=12
What is the answer?

Answers

Answer:

x=24 or 25

Step-by-step explanation:

90% is x=24

89.999999 repeat% is x =25

elena receives $200 for a birthday present, which she deposited in a bank account. Every month she withdraws $25. how much will she have left in her bank?

Answers

Answer:

8 months

Step-by-step explanation:

for every 100 four 25s and these two 100s so 8

hope this helps

The diameter of a circle is 4 miles. What is the circle's circumference?

Answers

Answer:

C ≈ 12.56 mi

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Geometry

Diameter: d = 2rCircumference: C = 2πr

Step-by-step explanation:

Step 1: Define

d = 4

Step 2: Find Circumference

Rewrite formula:                    C = πdSubstitute:                              C = 4πEvaluate:                                C ≈ 12.56

how to get beter at maths

Answers

Try to understand the problem and take everything step by step

Answer:       to get better in math:-

i) listen to the math class properly

ii) practice the math works thoroughly

iii) do homeworks on time

iv) if there is any doubt still feel free to ask to the teacher

v) do revision of the taken chapters once in month

vi) If u can attend tuition classes then attend them

doing these steps I'm sure u can be better in math.

Hope it helped u, pls mark this as brainliest and put thanks for the ans

assume that 2000 births are randomly selected and 64 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below

Answers

Total no. of births = 2000

Births of girls = 64

Birth% of girls

[tex] = \frac{64}{2000} \times 100[/tex]

[tex] = \frac{64}{20} [/tex]

[tex] = \frac{6.4}{2} [/tex]

[tex] = 3.2\%[/tex]

Hence, the number of girls are significantly low.

The given equation shows the relationship between the price, in dollars, y, of x gallons of gasoline.
y = 2.251
Which graph represents the proportional relationship?
Cost of Gasoline
3.5
Cost of Gasoline
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
w.
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
X.
Cost of Gasoline
Cost of Gasoline
Y
3.5
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5
1.5 2 2.5 3 3.5
Gallons of Gasoline
Y.
0.5 1 1.5 2
1.5 2 2.5 3 3.5
Gallons of Gasoline
z.
1 of 10 Answered
Session Score: 0% (0/1)

Answers

It would be Z and X bc they match up with each other they are just on different parts of the graph

1) g(x) = 4x + 3
h(x) = 3x + 3
Find g(x) + (x)

Answers

Answer:

Step-by-step explanation:

g(x) = 4x + 3

h(x) = 3x + 3

g(x) + h(x) = 7x + 6

what is 5/ 16 expressed as a percentage ​

Answers

Answer:

31.25%

Step-by-step explanation:

To express a number as a percent we will first divide the top number by the bottom number.

5/16 = 0.3125

A percent is expressed by moving the decimal two places to the left.

31.25%

How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters?

Answers

Answer:

X=3

Step-by-step explanation:

For a linear equation like 2x + 3 = 9 you would start with subtracting 3 from both sides. Then you would divide both sides by 2 to get x by itself. You get x=3

For linear inequalities it’s the same but with a less than or equal sign. You just solve the same way. However if you divide a negative the sign flips like in my second example. I’m not sure if this is exactly what you are looking for since I don’t know what your problems look like but I hope it helps.

A dime (0.10) is what percent of a dollar (1.00)?

Answers

10%.
1.00 / 0.10 = 10

Answer:

10%

Step-by-step explanation:

Describe 3 types of maps

Answers

Answer:

population-amount of people per sq ft

climate- the average climate in that are

physical- elevation, landmarks,

Step-by-step explanation:

The first U.S. census was conducted in 1790. At that time, the population was 3.93 million. Since then, the U.S. population has grown by approximately 2.03% annually. At that rate, what was the population in 1850?

A. 13.12 million
B. 1.14 million
C. 25.71 million
D. 15.56 million

Answers

Answer:

It's actually A, because the US population got doubled ever year

A meteorologist records the temperature as - 7.5°C at 7 a.m. and as-4.3°C at 10p.m. Which statement is true?

Answers

Answer:

Step-by-step explanation:

its maybe A

Question 1 of 10
What is the slope of the line shown below?
10
(3,9)
O A.
5
B. 4
(1,1)
-5
10
15
O C. -
1
4
O D.-4
SUBMIT

Answers

I’m pretty sure it’s B because of rise over run.

The slope of the given line is 4.

What is slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,

Slope = y₂ - y₁ / x₂ - x₁

So,

Slope = 9-1 / 3-1 = 8/2 = 4

Hence, the slope of the given line is 4.

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6c = 7c − 7
with work shown

Answers

Answer:

c = 7

Step-by-step explanation:

6c = 7c - 7

Subtract 6c to both sides

0 = c - 7

Add 7 to both sides

c = 7

Answer:

c = 7

Step-by-step explanation:

Step 1: Subtract 7c from both sides.

6c − 7c = 7c − 7 − 7c

−c = −7

Step 2: Divide both sides by -1.

-c/-1 = -7/-1

c = 7

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