Question

What is the inverse of function f f(x)=√x +7

Answer 1

Answer: f⁻¹(x)=(x-7)²

Explanation:

To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.

`y=√(x) +7` [switch y with x and x with y]

`x=√(y) +7` [subtract both sides by 7]

`x-7=√(y)` [square both sides]

`y=(x-7)^2`

Now, we know that f⁻¹(x)=(x-7)².