Question

F(x) = x² - 4
explanation of inverse for this function

Answer 1

`f^(-1)(x)` = ±√(x + 4)

Explanation:

f(x) = x² - 4

substitute y for f(x): y = x² - 4

Swap y and x: x = y² - 4

Make y the subject: x + 4 = y² ⇒ y = ±√(x + 4)

substitute
`f^(-1)(x)` for y:
`f^(-1)(x)` = ±√(x + 4)