Find g(f(x)) f(x)=x^3+12x^2+25x-70 g(x)=x+7

$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{3} + 12 x^{2} + 25 x - 70)$ by substituting in the value of $f$ into $g$ .

$g (x^{3} + 12 x^{2} + 25 x - 70) = (x^{3} + 12 x^{2} + 25 x - 70) + 7$

Step 3

Add $- 70$ and $7$ .

$g (x^{3} + 12 x^{2} + 25 x - 70) = x^{3} + 12 x^{2} + 25 x - 63$