Find the inverse of the function.
-$$f ( x ) = x ^ { 3 } - 7$$
A) Not a one-to-one function
B) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } + 7$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } + 7 }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } - 7 }$

Question

Quizplus · Accepted Answer

The correct answer is C because the inverse of the function f(x) = x^3 - 7 is f^-1(x) = cube root (x + 7).

Find the Inverse of the Function f(x)=x3−7f ( x ) = x ^ { 3 } - 7f(x)=x3−7

Find the Inverse of the Function $f ( x ) = x ^ { 3 } - 7$