Find f(g(x)) f(x)=1/(6x) , g(x)=-6x

$f (x) = \frac{1}{6 x}$ , $g (x) = - 6 x$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- 6 x)$ by substituting in the value of $g$ into $f$ .

$f (- 6 x) = \frac{1}{6 (- 6 x)}$

Step 3

Multiply $- 6$ by $6$ .

$f (- 6 x) = \frac{1}{- 36 x}$

Step 4

Move the negative in front of the fraction.

$f (- 6 x) = - \frac{1}{36 x}$