Find g(f(x)) f(x)=2/x , g(x)=3x+12

$f (x) = \frac{2}{x}$ , $g (x) = 3 x + 12$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (\frac{2}{x}) = 3 (\frac{2}{x}) + 12$

Step 3

Multiply $3 (\frac{2}{x})$ .

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

$g (\frac{2}{x}) = \frac{3 \cdot 2}{x} + 12$

Multiply $3$ by $2$ .

$g (\frac{2}{x}) = \frac{6}{x} + 12$