Which function below is the inverse of f(x) = x² - 16?
x squared over 16
±4square root of x
±square root of the quantity x plus 16
1 over quantity x squared minus 16

Solution:

Given function is

f(x) = x² - 16

Let y = x² - 16

x² = y + 16

x = √(y + 16)

Swap variables, y = √(x + 16)

x = f(y): y = f^-1(x)

f^-1(x) = ± √(x + 16)

Therefore, it is ±square root of the quantity x plus 16

Which function below is the inverse of f(x) = x² - 16?

Summary:

±square root of the quantity x plus 16 is the function inverse of f(x) = x² - 16.