Find f(g(x)) f(x)=2x-5 , g(x) = square root of x+6

$f (x) = 2 x - 5$ , $g (x) = \sqrt{x + 6}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\sqrt{x + 6})$ by substituting in the value of $g$ into $f$ .

$f (\sqrt{x + 6}) = 2 (\sqrt{x + 6}) - 5$

Step 3

Multiply $2$ by $\sqrt{x + 6}$ .

$f (\sqrt{x + 6}) = 2 \sqrt{x + 6} - 5$