Finite Math Examples

$g (x) = \frac{3}{x}$ , $h (x) = \frac{4}{x + 2}$

Step 1

Set up the composite result function.

$g (h (x))$

Step 2

Evaluate $g (\frac{4}{x + 2})$ by substituting in the value of $h$ into $g$ .

$g (\frac{4}{x + 2}) = \frac{3}{\frac{4}{x + 2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{4}{x + 2}) = 3 (\frac{x + 2}{4})$

Step 4

Combine $3$ and $\frac{x + 2}{4}$ .

$g (\frac{4}{x + 2}) = \frac{3 (x + 2)}{4}$