Find g(f(x)) f(x)=6x-3 , g(x)=5/(x+3)

$f (x) = 6 x - 3$ , $g (x) = \frac{5}{x + 3}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (6 x - 3)$ by substituting in the value of $f$ into $g$ .

$g (6 x - 3) = \frac{5}{(6 x - 3) + 3}$

Step 3

Simplify the denominator.

Add $- 3$ and $3$ .

$g (6 x - 3) = \frac{5}{6 x + 0}$

Add $6 x$ and $0$ .

$g (6 x - 3) = \frac{5}{6 x}$