Question

PLSS HELPP

Question 13 of 40
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If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).

Options:

A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13

Answer 1

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

Explanation:

`f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)`

`= 2x^2 -5 -x^2 +4x+8` ----------> distribute

`= x^2 +4x +3` ------------> combine like terms

Therefore, Option B is the correct answer.