Find f(g(x)) f(x) = square root of 3x+4 , g(x) = square root of 9x-4

$f (x) = \sqrt{3 x + 4}$ , $g (x) = \sqrt{9 x - 4}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\sqrt{9 x - 4})$ by substituting in the value of $g$ into $f$ .

$f (\sqrt{9 x - 4}) = \sqrt{3 (\sqrt{9 x - 4}) + 4}$

Step 3

Multiply $3$ by $\sqrt{9 x - 4}$ .

$f (\sqrt{9 x - 4}) = \sqrt{3 \sqrt{9 x - 4} + 4}$