Question

value: 1
add:
$f(x)=4x^2 + 5x - 1$
$g(x)=2x^2 + 5x + 3$
a. $6x^2 - 10x - 2$
b. $-6x^2 - 10x + 2$
c. $6x^2 + 10x + 2$
d. $-6x^2 + 10x - 2$

Explanation:

Step1: Define the sum function

$h(x) = f(x) + g(x)$

Step2: Substitute the given functions

$h(x) = (4x^2 + 5x - 1) + (2x^2 + 5x + 3)$

Step3: Combine like $x^2$ terms

$4x^2 + 2x^2 = 6x^2$

Step4: Combine like $x$ terms

$5x + 5x = 10x$

Step5: Combine constant terms

$-1 + 3 = 2$

Step6: Assemble the final function

$h(x) = 6x^2 + 10x + 2$

Answer:

c. $6x^2 + 10x + 2$