Find g(f(x)) f(x)=5/(1-3x) , g(x)=1/x

$f (x) = \frac{5}{1 - 3 x}$ , $g (x) = \frac{1}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{5}{1 - 3 x})$ by substituting in the value of $f$ into $g$ .

$g (\frac{5}{1 - 3 x}) = \frac{1}{\frac{5}{1 - 3 x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{5}{1 - 3 x}) = 1 (\frac{1 - 3 x}{5})$

Step 4

Multiply $\frac{1 - 3 x}{5}$ by $1$ .

$g (\frac{5}{1 - 3 x}) = \frac{1 - 3 x}{5}$