Algebra Examples

$f (x) = \frac{8}{x}$ , $g (x) = 5 x^{4}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{8}{x})$ by substituting in the value of $f$ into $g$ .

$g (\frac{8}{x}) = 5 {(\frac{8}{x})}^{4}$

Step 3

Apply the product rule to $\frac{8}{x}$ .

$g (\frac{8}{x}) = 5 (\frac{8^{4}}{x^{4}})$

Step 4

Raise $8$ to the power of $4$ .

$g (\frac{8}{x}) = 5 (\frac{4096}{x^{4}})$

Step 5

Multiply $5 \frac{4096}{x^{4}}$ .

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Step 5.1

Combine $5$ and $\frac{4096}{x^{4}}$ .

$g (\frac{8}{x}) = \frac{5 \cdot 4096}{x^{4}}$

Step 5.2

Multiply $5$ by $4096$ .

$g (\frac{8}{x}) = \frac{20480}{x^{4}}$