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Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).
A) (f + g)(x) = x2 + 2x+3
B) (f + g)(x) = x2 + 6x+ 3
C) (f + g)(x) = -x2 + 6x + 7
D) (f + g)(x) = – x2 + 2x - 7

Respuesta :

xKelvin

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=4x+5\text{ and } g(x)=x^2-2x-2[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

Substitute:

[tex]=(4x+5)+(x^2-2x-2)[/tex]

Rearrange:

[tex]=(x^2)+(4x-2x)+(5-2)[/tex]

Combine like terms. Hence:

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

Our answer is A.

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