Question

Find the inverse f(x)=(x-5)^2

Answer 1

f − 1 ( x ) = √ x + 5 , − √ x + 5

Explanation:

To find the inverse, interchange the variables and solve for y

Answer 2

f⁻¹(x) = ±√x + 5

Explanation:

We have given a function.

f(x) = (x-5)²

We have to find the inverse of given function.

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

y = (x-5)²

Taking square root to both sides of above equation, we have

±√y = x-5

x = ±√y + 5

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

f⁻¹(y) = ±√y + 5

Replace y with x , we have

f⁻¹(x) = ±√x + 5 which is the answer.