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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Simplify each term.

Apply the distributive property.

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

Multiply $5$ by $5$ .

$g (5 x^{2} - 4 x) = 25 x^{2} + 5 (- 4 x) + 1$

Multiply $- 4$ by $5$ .

$g (5 x^{2} - 4 x) = 25 x^{2} - 20 x + 1$