Let f(x) = x2 − 16. Find f−1(x)

Answers

Answer 1

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]


Related Questions

Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest

Answers

Answer:

48

Step-by-step explanation:

You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.

150 * 0.32 = 48

Step-by-step explanation:

when finding the percentage of a number, multiply the number by the percentage's decimal form.

here's an example: 20% of 300

20% is 20/100 which is 0.20

now we just multiply

0.20×300=60

now for 32% of 150

32%--->32/100---->0.32

0.32×150=48

there you go! hope that helped

A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?

Answers

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = 5-6/6-9

  = -1/-3

  = 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

Which is the graph of y = [x]-2?

Answers

Answer:

Step-by-step explanation:

number 1

if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?​

Answers

Answer:

Step-by-step explanation:

How to Estimate Aquarium Water Volume

You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.

You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.

Tank Volume Formulas

See the volume formulas for various aquarium fish tank styles below.

Rectangular Tank Formula

tank volume = l × w × h

l = tank length

w = tank width

h = tank height

[tex](\sqrt[3]{5})^{2}[/tex]

Answers

Answer:

[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{5})^2[/tex]

[tex](5^{\frac{1}{3}})^2[/tex]

[tex]5^{\frac{1}{3}*2}[/tex]

[tex]5^\frac{2}{3}[/tex]

Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]

Anyone able to help
Just question 6 please

Answers

Answer:

C)

Step-by-step explanation:

Have a great day

If 3
persons can weave 168 shawls in 14 days, how many shawls will be
woven by 8 persons days?


Answers

Answer:Given that 3 persons can weave 168 shawls in 14 days. Then, Shawls are woven in 1 day by the 3 men = 168/14 = 12. Shawls are woven in 1 day ...

Step-by-step explanation:

What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?

Answers

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

Can someone please help me on this?



Correct Answer = 15 pts and Brainliest

Answers

Step-by-step explanation:

you can clarify on that please

Answer:

[tex]5xy^4[/tex]

Step-by-step explanation:

[tex]\frac{15x^3y^5}{3x^2y}[/tex]

= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]

= [tex]\frac{5xy^5}{y}[/tex]

= [tex]5xy^4[/tex]

A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.

Answers

B no ........................

how does 9 + 9 = 6 ?

Answers

Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

please help me im only looking for real answers

if you put a link to an inappropriate site i WILL report it

Answers

Answer: y=3/2x

Step-by-step explanation:

First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.

An equation in slope intercept form is as follows:

y=mx+b

To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.

We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.

[tex]\frac{3-6}{2-4}[/tex] = [tex]\frac{3}{2}[/tex]

Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.

can somebody help me/tell me how to do these?

Answers

Hi! I'll try to help

It gives you two equations, one for "x" and one for "y"

All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.

y=4x

3x-y=1

Since we know that "y" is the same as 4x, you can rewrite the equation as

3x-4x=1

Next, all you have to do is combine like terms as solve "3x-4x" which is -x

Let's rewrite the equation, then:

-x=1

You can simplify it to

x=-1

by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive

On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?

Answers

Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

11/19% of a quantity is equal to what fraction of the quantity?

Answers

Answer:

57/10,000

Step-by-step explanation:

9/11% = 0.57% = 0.0057  

57/10,000

Find the value of x

please helppppp!!!!

Answers

Answer:

  x = 3

Step-by-step explanation:

The two marked angles form a linear pair, so are supplementary. Their sum is 180°.

  (3x +136)° +(5x +20)° = 180°

  8x +156 = 180 . . . . . . . . . . . divide by °, collect terms

  8x = 24 . . . . . . . . . . . . . . subtract 156

  x = 3 . . . . . . . . . . . . . . divide by 8

_____

Additional comment

We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).

What temperature does the thermometer show?

Answers

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

Answer: The numbers are 71 and 15.

Explanation:
Let x = the first number
Let y = the second number

From what they give us, we know:
x - y = 56
5y = x + 4

Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.

5y = x + 4
5y - 4 = x or x = 5y - 4

x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15

To find the other variable (number), substitute that value in either equation.

x - y = 56
x - 15 = 56
x = 71

To check the solutions, substitute both variables into each equation to make sure they work.

x - y = 56
71 - 15 = 56
56 = 56

5y = x + 4
5*15 = 71 + 4
75 = 75

find the measure of each variable

Answers

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3

0.4

0.9

1.2
*the ones in parentheses are exponents

Answers

Answer:
0.4
Explanation:
when you simplify both terms you get 120,000 and 300,000. then you divide the first number by the second number, which gives you 0.4
hope this helps!

factorise this (x-6)(x+2)

Answers

Answer:

Its already in factored form.

Step-by-step explanation:

Answer:

x^2 - 4x - 12

Step-by-step explanation:

Using FOIL (first, outside, inside, last), multiply each term in the order:

you should get ---> x^2 + 2x - 6x - 12

now, add like terms

you should get ---> x^2 - 4x - 12

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

Five Gallons Of Water

Step-by-step explanation:

If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it

Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.

Answers

Answer:

y = - 3x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (- 1, 3 ) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = - 3x ← equation of parallel line

Answer:

y = -3x

Step-by-step explanation:

4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.​

Answers

Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

Evaluate the expression shown below and write your answer as a mixed number in simplest form.

Answers

The answer would be -8 1/6.

truncate 4087.2 to the tens

Answers

Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

4080 steps
Explanation:…

PLEASE HELP ASAP!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.

Answers

Answer:

true

Step-by-step explanation:

Line l and line m are parallel to each other which means the statement is true.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The statement is True !

In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.

9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?

Answers

65*2x=_________

32x+1=_________

x=65*2x=32x+1

`this is the solution `

f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k

Answers

589bj oh add be by chicken

Answer:

k=-6-6=-12

Im pretty sure that's the answer

5/6 x 9/5...............................................................help asap

Answers

Step-by-step explanation:

5/6 ×9/5

Multiply the denominators and the numerators separately; that is:

5×9 and 6×5

45 and 30

=45/30

=3/2(simplified)

Answer:

1.5

Step-by-step explanation:

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