Calculus Examples

$f (x) = x^{5}$ , $g (x) = \frac{1}{3 x + 1}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{5})$ by substituting in the value of $f$ into $g$ .

$g (x^{5}) = \frac{1}{3 (x^{5}) + 1}$

Step 3

Multiply $3$ by $x^{5}$ .

$g (x^{5}) = \frac{1}{3 x^{5} + 1}$