Find g(f(x)) f(x)=7x+2 g(x)=(x^2)/(x-5)

$f (x) = 7 x + 2$ $g (x) = \frac{x^{2}}{x - 5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (7 x + 2)$ by substituting in the value of $f$ into $g$ .

$g (7 x + 2) = \frac{{(7 x + 2)}^{2}}{(7 x + 2) - 5}$

Step 3

Subtract $5$ from $2$ .

$g (7 x + 2) = \frac{{(7 x + 2)}^{2}}{7 x - 3}$