Find g(f(x)) f(x)=5x-9 g(x)=(x+5)/9

$f (x) = 5 x - 9$ $g (x) = \frac{x + 5}{9}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (5 x - 9)$ by substituting in the value of $f$ into $g$ .

$g (5 x - 9) = \frac{(5 x - 9) + 5}{9}$

Step 3

Add $- 9$ and $5$ .

$g (5 x - 9) = \frac{5 x - 4}{9}$