Find the inverse function of $f$.
$f ( x ) = x ^ { 5 } + 5$
A) $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x } + 5$
B) $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } + 5$
C) $f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x + 5 }$
D) $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x - 5 }$
E) $f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } - 5$

Question

Quizplus · Accepted Answer

To find the inverse function, you swap $x$ and $y$ and solve for $y$. So, if $y = x^5 + 5$, then $x = y^5 + 5$. Solving for $y$, we get $y = \sqrt[5]{x - 5}$.

Find the Inverse Function Of fff f(x)=x5+5f ( x ) = x ^ { 5 } + 5f(x)=x5+5

Find the Inverse Function Of $f$ $f ( x ) = x ^ { 5 } + 5$