Which function below is the inverse of f(x) = x² - 25?
x squared over 25
±square root of the quantity x plus 25
±5 times the square root of x
1 over quantity x squared minus 25

Solution:

Given function is

f(x) = x² - 25

Let y =  x² - 25

x² = y + 25

x = ± √(y + 25 )

Swap the variables, we get y = ±√(x + 25)

Therefore, the inverse of the given function is ±√(x + 25)

Which function below is the inverse of f(x) = x² - 25?

Summary:

The expression ±square root of the quantity x plus 25 function is the inverse of f(x) = x² - 25.