Question

Use the function f(x)=x^2-8 find the inverse of f(x)

Answer 1

Explanation:

let : y = x² - 8

calculate : x

x² = y + 8

x exist : y + 8 ≥ 0

x = √(y + 8) or x = - √(y + 8)

conclusion :

if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)

if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)