Find f(g(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.

$f (g (x))$

Step 2

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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