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Marysya12 [62]
3 years ago
5

Find f^-1(x) A B C D

Mathematics
2 answers:
inna [77]3 years ago
8 0

<u><em>Answer:</em></u>

D. f⁻¹(x) = 2x + 10

<u><em>Explanation:</em></u>

<u>The given is:</u>

f(x) = \frac{1}{2}x - 5

<u>To find the inverse, follow the below procedures:</u>

<u>1- Convert f(x) to y. </u>

<u>This will give:</u>

y = \frac{1}{2} x - 5

<u>2- Swap the x and y variables.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5

<u>3- Solve for y.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10

<u>4- Replace the y in the above step with f⁻¹(x).</u>

<u>This will give us:</u>

f⁻¹(x) = 2x + 10

Hope this helps :)

scoray [572]3 years ago
3 0

Answer:

Choice d is the answer.

Step-by-step explanation:

We have given a function.

f(x) = 1/2x-5

We have to find the inverse of the function.

f⁻¹(x) = ?

Putting y = f(x) in given equation, we have

y = 1/2x-5

Separating x , we have

y+5 = 1/2x

x = 2(y+5)

Putting x = f⁻¹(y) in above equation, we have

f⁻¹(y) = 2y+10

Replacing y by x , we have

f⁻¹(x) = 2x+10 which is the answer.

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