Find f(g(x)) f(x)=x+1 , g(x)=5x^2-4x-1

$f (x) = x + 1$ , $g (x) = 5 x^{2} - 4 x - 1$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (5 x^{2} - 4 x - 1)$ by substituting in the value of $g$ into $f$ .

$f (5 x^{2} - 4 x - 1) = (5 x^{2} - 4 x - 1) + 1$

Step 3

Combine the opposite terms in $(5 x^{2} - 4 x - 1) + 1$ .

Add $- 1$ and $1$ .

$f (5 x^{2} - 4 x - 1) = 5 x^{2} - 4 x + 0$

Add $5 x^{2} - 4 x$ and $0$ .

$f (5 x^{2} - 4 x - 1) = 5 x^{2} - 4 x$