Algebra Examples

$f (x) = \frac{8}{x - 7}$ , $g (x) = \frac{3}{x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{8}{x - 7})$ by substituting in the value of $f$ into $g$ .

$g (\frac{8}{x - 7}) = \frac{3}{\frac{8}{x - 7}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{8}{x - 7}) = 3 (\frac{x - 7}{8})$

Step 4

Combine $3$ and $\frac{x - 7}{8}$ .

$g (\frac{8}{x - 7}) = \frac{3 (x - 7)}{8}$