Find the composition.
-If $f ( x ) = - 3 x - 4$ and $g ( x ) = \frac { 1 } { x }$, find $g \left[ f \left( \frac { 1 } { 4 } \right] \right.$.
A) $- \frac { 19 } { 4 }$
B) $- 16$
C) $- \frac { 4 } { 19 }$
D) $- \frac { 1 } { 19 }$

Question

Quizplus · Accepted Answer

First, find $f\left(\frac{1}{4}\right) = -3\left(\frac{1}{4}\right) - 4 = -\frac{3}{4} - 4 = -\frac{19}{4}$. Then, find $g\left(-\frac{19}{4}\right) = \frac{1}{-\frac{19}{4}} = -\frac{4}{19}$.

Find the Composition f(x)=−3x−4f ( x ) = - 3 x - 4f(x)=−3x−4

Find the Composition $f ( x ) = - 3 x - 4$