Calculus Examples

$f (x) = \frac{16}{x}$ $g (x) = x^{2}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{16}{x})$ by substituting in the value of $f$ into $g$ .

$g (\frac{16}{x}) = {(\frac{16}{x})}^{2}$

Step 3

Apply the product rule to $\frac{16}{x}$ .

$g (\frac{16}{x}) = \frac{16^{2}}{x^{2}}$

Step 4

Raise $16$ to the power of $2$ .

$g (\frac{16}{x}) = \frac{256}{x^{2}}$