Find f(g(x)) f(x)=1/(4x) , g(x)=-4x

$f (x) = \frac{1}{4 x}$ , $g (x) = - 4 x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- 4 x)$ by substituting in the value of $g$ into $f$ .

$f (- 4 x) = \frac{1}{4 (- 4 x)}$

Step 3

Multiply $- 4$ by $4$ .

$f (- 4 x) = \frac{1}{- 16 x}$

Step 4

Move the negative in front of the fraction.

$f (- 4 x) = - \frac{1}{16 x}$