If $f ( x ) = 8 x + \ln x$, find $f ^ { - 1 } ( 8 )$
A) $f ^ { - 1 } ( 8 ) = 1$
B) $f ^ { - 1 } ( 8 ) = 0$
C) $f ^ { - 1 } ( 8 ) = 8$
D) $f ^ { - 1 } ( 8 ) = - 1$
E) $f ^ { - 1 } ( 8 ) = - 8$

Question

Quizplus · Accepted Answer

To find $f^{-1}(8)$, we need to solve $8x + \ln x = 8$ for $x$. Substituting $x = 1$ into the equation gives $8(1) + \ln(1) = 8 + 0 = 8$, which matches the given value, indicating $x = 1$ is the correct solution.

If f(x)=8x+ln⁡xf ( x ) = 8 x + \ln xf(x)=8x+lnx

If $f ( x ) = 8 x + \ln x$