Find f(g(x)) f(x)=7x+11 g(x)=-2+3 h(x)=3x^2+1

$f (x) = 7 x + 11$ $g (x) = - 2 + 3$ $h (x) = 3 x^{2} + 1$

Set up the composite result function.

$f (g (x))$

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

$f (- 2 + 3) = 7 (- 2 + 3) + 11$

Simplify each term.

Tap for more steps…

Add $- 2$ and $3$ .

$f (- 2 + 3) = 7 \cdot 1 + 11$

Multiply $7$ by $1$ .

$f (- 2 + 3) = 7 + 11$

Add $7$ and $11$ .

$f (- 2 + 3) = 18$

Find f(g(x)) f(x)=7x+11 g(x)=-2+3 h(x)=3x^2+1