Question

F(x)=√x + 7,
f-¹(x).

Answer 1

f⁻¹(x) = (x - 7)²

Explanation:

f(x) = √x + 7

Steps to follow to find inverse function:

• Replace f(x) with y.

y = √x + 7

• Replace every x with y and replace every y with x.

x = √y +7

• Now, solve the above equation for 'y'.

x = √y + 7

Subtract 7 from both sides,

x - 7 = √y

Square both sides,

(x - 7)² = y

Now, inverse function, f⁻¹(x) = (x - 7)²