Find g(f(x)) f(x) = square root of x+3 , g(x)=8x-7

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\sqrt{x + 3})$ by substituting in the value of $f$ into $g$ .

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

Step 3

Multiply $8$ by $\sqrt{x + 3}$ .

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