Find f(g(x)) f(x)=2x ; g(x)=5x^2+6

$f (x) = 2 x$ ; $g (x) = 5 x^{2} + 6$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (5 x^{2} + 6)$ by substituting in the value of $g$ into $f$ .

$f (5 x^{2} + 6) = 2 (5 x^{2} + 6)$

Step 3

Apply the distributive property.

$f (5 x^{2} + 6) = 2 (5 x^{2}) + 2 \cdot 6$

Step 4

Multiply.

Multiply $5$ by $2$ .

$f (5 x^{2} + 6) = 10 x^{2} + 2 \cdot 6$

Multiply $2$ by $6$ .

$f (5 x^{2} + 6) = 10 x^{2} + 12$