Question

find $f(x) + g(x)$

$f(x) = -3x^4 + 4x^2 - 5$
$g(x) = -x^4 + x^2$

\\(\circ\\) a. $-4x^4 + 5x^2 - 5$
\\(\circ\\) b. $-4x^4 - 3x^2 - 5$
\\(\circ\\) c. $2x^4 - 3x^2 - 5$
\\(\circ\\) d. $2x^4 + 3x^2 - 5$

Explanation:

Step1: Substitute given functions

$f(x)+g(x) = (-3x^4 + 4x^2 - 5) + (-x^4 + x^2)$

Step2: Group like terms

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

Step3: Combine like terms

$= -4x^4 + 5x^2 - 5$

Answer:

a. $-4x^4 + 5x^2 - 5$