Find g(f(x)) f(x)=3/x g(x)=3/x

$f (x) = \frac{3}{x}$ $g (x) = \frac{3}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (\frac{3}{x}) = \frac{3}{\frac{3}{x}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{3}{x}) = 3 (\frac{x}{3})$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$g (\frac{3}{x}) = 3 (\frac{x}{3})$

Rewrite the expression.

$g (\frac{3}{x}) = x$