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

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

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

Step 3

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

Add $- 2$ and $2$ .

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

Add $4 x^{2} - 7 x$ and $0$ .

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