Find f(g(x)) f(x)=x+4 , g(x)=2x^2-7x-4

$f (x) = x + 4$ , $g (x) = 2 x^{2} - 7 x - 4$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x^{2} - 7 x - 4)$ by substituting in the value of $g$ into $f$ .

$f (2 x^{2} - 7 x - 4) = (2 x^{2} - 7 x - 4) + 4$

Step 3

Combine the opposite terms in $(2 x^{2} - 7 x - 4) + 4$ .

Add $- 4$ and $4$ .

$f (2 x^{2} - 7 x - 4) = 2 x^{2} - 7 x + 0$

Add $2 x^{2} - 7 x$ and $0$ .

$f (2 x^{2} - 7 x - 4) = 2 x^{2} - 7 x$