Find g(f(x)) f(x)=8x-5 , g(x)=(x+8)/5

$f (x) = 8 x - 5$ , $g (x) = \frac{x + 8}{5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (8 x - 5)$ by substituting in the value of $f$ into $g$ .

$g (8 x - 5) = \frac{(8 x - 5) + 8}{5}$

Step 3

Add $- 5$ and $8$ .

$g (8 x - 5) = \frac{8 x + 3}{5}$