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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

Respuesta :

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

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