Algebra Examples

$f (x) = \frac{x}{x - 3}$ $g (x) = \frac{7}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (\frac{x}{x - 3}) = \frac{7}{\frac{x}{x - 3}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{x}{x - 3}) = 7 (\frac{x - 3}{x})$

Step 4

Combine $7$ and $\frac{x - 3}{x}$ .

$g (\frac{x}{x - 3}) = \frac{7 (x - 3)}{x}$