Find f(g(x)) f(x)=3x+1 , g(x) = square root of x

$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (\sqrt{x}) = 3 (\sqrt{x}) + 1$

Step 3

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

$f (\sqrt{x}) = 3 \sqrt{x} + 1$