Question

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

Answer 1

Answer: f⁻¹(x)=(x-7)²

Step-by-step explanation:

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

$y=\sqrt{x} +7$        [switch y with x and x with y]

$x=\sqrt{y} +7$        [subtract both sides by 7]

$x-7=\sqrt{y}$        [square both sides]

$y=(x-7)^2$

Now, we know that f⁻¹(x)=(x-7)².