Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x² + 5 A) $f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0$ B) $f ^ { - 1 } ( x ) = \sqrt { x - 5 }$ C) $f ^ { - 1 } ( x ) = \sqrt { x } - 5$ D) $f ^ { - 1 } ( x ) = \sqrt { x + 5 } , x \geq - 5$ E)No inverse function exists.

Question

Quizplus · Accepted Answer

The function $f(x) = x^2 + 5$ is not one-to-one over the entire set of real numbers, so it does not have an inverse function.

Determine Whether the Function Has an Inverse Function f−1(x)=x+5,x≥0f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0f−1(x)=x​+5,x≥0

Determine Whether the Function Has an Inverse Function $f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0$