Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]

However after this I do not see how I can get another value other than 5.

Answers

Answer 1

Answer:

[tex]x=5,-5[/tex]

Step-by-step explanation:

[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]


Related Questions

Read the following statement: Line segment MN is congruent to line segment OP.

Which of the following is an equivalent statement?


a
MN overbar is similar to OP overbar

b
MN overbar equals OP overbar

c
MN overbar is congruent to OP overbar

d
MN overbar is an element of OP overbar

Answers

Answer:c

Step-by-step explanation:

Factor -6 out of 18z - 15

Answers

Answer: -6(-3z+15/6)
Divide both 18z and -15 by -6 and then put -6 outside the parentheses with the quotients on the inside so the -6 can be distributed to create 18z-15

In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:

Given:

[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]

To find:

Factor=?

Solution:

[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".

Learn more:

brainly.com/question/19310237

help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.

Answers

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.

Answers

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

what is 2/3 divdided by 1/6

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

M=3 (-4,-7) PLease include steps!!( I will give brainliest)

Answers

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

The 2-yard pièce of cotton cloth for $13.26

Step-by-step explanation:

2 yards is 6 feet then it would be $2.21 per foot.

The 17 foot piece would cost $3.29 per foot.

To answer this question, you need to determine which one has a lower price per unit.  In this scenario, you must divide the price of the cloths by their length in feet.

For the 2-yard piece of cotton cloth, first convert the length to feet.  There are three feet in a yard, so the cloth is 6 feet.  Then divide:

13.26/6=2.21

For the 17-foot piece of cotton cloth, simply divide:

55.93/17=3.29

The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.

Hope this helps!!

Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.

Answers

Answer:

420 funny number

Step-by-step explanation:

find the value of x
help

Answers

Answer:

6.7

Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

Soh in Soh cah toa

                  So  sin(42)=x/10

                        10 times sin(42)=x

                             Evaluate using a calculator=6.69130606 and so on

                                 Rounded to the nearest tenth is 6.7

So the answer is 6.7

Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39​

Answers

5+2(3x-4)=12x-11 is 5+6x -8 = 12x -11, 5-8+11= 12x-6x, “8= 6x” so option B is correct
The answer is letter b

Will mark as brainless if you answer correctly

Answers

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

What is the slope of the line through
(

5
,

10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(

1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?


tysm

Answers

Answer: y=15/4x+35/4

Step-by-step explanation:

PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?

Answers

Answer:

try 15 / 2.25

Step-by-step explanation:

Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?​

Answers

I Hope this helps u out

What percent is:
45 of 36

Answers

Answer:

45 is 125% of 36, and 36 is 80% of 45.

Step-by-step explanation:

A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).

Answers

Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)

Step-by-step explanation: I guessed on my test and got it right. PLATO

The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.

Answers

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.

If n is the smallest of three consecutive integers, write an expression for the largest number.

Answers

Answer:

n +2

Step-by-step explanation:

If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.

Since the smallest number is n,

2nd consecutive number= n +1

3rd consecutive number

= n +1 +1

= n +2

Thus, the expression for the largest number is n +2.

Let's check!

If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.

3rd consecutive number

= n +2

= 1 +2

= 3 (✓)

Thus, the expression is correct.

plsss help 6th grade math

Answers

Answer:  D

Step-by-step explanation:

If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.

Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3

Answers

Answer:

when x=1 y=7, when x=2 y=10, when x=3 y=13

Step-by-step explanation:

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.

f(x) = x^3 + 2x, [-1,1]

Answers

Answer:

There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.

If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]

[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]

[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)

The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.

According to the Mean Value Theorem, the following relationship is fulfilled:

[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)

If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:

[tex]3\cdot c^{2}+2 = 3[/tex]

[tex]3\cdot c^{2} = 1[/tex]

[tex]c = \sqrt{\frac{1}{3} }[/tex]

[tex]c \approx 0.577[/tex]

There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].


The sum of two numbers is 38. The smaller number is 22 less than the larger number. What are the numbers?

Answers

Answer:

30 and 8

Step-by-step explanation:

30 - 8 = 22

Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.

Answers

Answer:

Attachment given answer

Step-by-step explanation:

I gave you the answer but if you have any questions let me know.

Find the slope of the line.

Answers

The slope of the line should be -3/2

10 Lakh More Than 93,23,654​

Answers

Answer:

10,323,654

Step-by-step explanation:

-413.4=-15.9n please help

Answers

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

I need help solving these!!!!​

Answers

Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

For #4:

Because these lines are parallel, we know that they will have the same slope.

To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

For #5:

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

For #6:

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

giving 30 points &’ brainliest to whoever can help w there two questions!!

Answers

Answer:

binomial and not a polynomial

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help

Answers

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

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