Algebra Examples

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{1}{x})$ by substituting in the value of $g$ into $f$ .

$f (\frac{1}{x}) = {(\frac{1}{x})}^{3}$

Step 3

Apply the product rule to $\frac{1}{x}$ .

$f (\frac{1}{x}) = \frac{1^{3}}{x^{3}}$

Step 4

One to any power is one.

$f (\frac{1}{x}) = \frac{1}{x^{3}}$