Find the inverse function of f informally. $f ( x ) = x ^ { 7 }$
A) $f ^ { - 1 } ( x ) = 7 \sqrt { x }$
B) $f ^ { - 1 } ( x ) = 2 ( \sqrt [ 7 ] { x } )$
C) $f ^ { - 1 } ( x ) = ( \sqrt [ 7 ] { x } ) ^ { 7 }$
D) $f ^ { - 1 } ( x ) = - \sqrt [ 7 ] { x }$
E) $f ^ { - 1 } ( x ) = \sqrt [ 7 ] { x }$

Question

Quizplus · Accepted Answer

To find the inverse function of $f(x) = x^7$, you swap $x$ and $y$ and solve for $y$. This gives $x = y^7$, which means $y = \sqrt[7]{x}$. Therefore, the inverse function is $f^{-1}(x) = \sqrt[7]{x}$.

Find the Inverse Function of F Informally f(x)=x7f ( x ) = x ^ { 7 }f(x)=x7

Find the Inverse Function of F Informally $f ( x ) = x ^ { 7 }$