Find g(f(x)) f(x)=4x^4-15 and g(x)=2x+11

$f (x) = 4 x^{4} - 15$ and $g (x) = 2 x + 11$

Set up the composite result function.

$g (f (x))$

Evaluate $g (4 x^{4} - 15)$ by substituting in the value of $f$ into $g$ .

$g (4 x^{4} - 15) = 2 (4 x^{4} - 15) + 11$

Simplify each term.

Apply the distributive property.

$g (4 x^{4} - 15) = 2 (4 x^{4}) + 2 \cdot - 15 + 11$

Multiply $4$ by $2$ .

$g (4 x^{4} - 15) = 8 x^{4} + 2 \cdot - 15 + 11$

Multiply $2$ by $- 15$ .

$g (4 x^{4} - 15) = 8 x^{4} - 30 + 11$

Add $- 30$ and $11$ .

$g (4 x^{4} - 15) = 8 x^{4} - 19$