Find the inverse mentally.
-$$f ( x ) = \sqrt [ 7 ] { 8 x } + 5$$
A) $f ^ { - 1 } ( x ) = ( 8 x ) ^ { 7 } - 5$
B) $f ^ { - 1 } ( x ) = \left( \frac { x - 5 } { 8 } \right) ^ { 7 }$
C) $f ^ { - 1 } ( x ) = \frac { ( x - 5 ) ^ { 7 } } { 8 }$
D) $f ^ { - 1 } ( x ) = \left( \frac { x } { 8 } \right) ^ { 7 } - 5$

Question

Quizplus · Accepted Answer

To find the inverse, solve $ y = \sqrt[7]{8x} + 5 $ for $ x $. Subtract 5 from both sides, then raise both sides to the 7th power, and finally divide by 8.

Find the Inverse Mentally f(x)=8x7+5f ( x ) = \sqrt [ 7 ] { 8 x } + 5f(x)=78x​+5

Find the Inverse Mentally $f ( x ) = \sqrt [ 7 ] { 8 x } + 5$