Question

If f(x) = 2x – 1 and g(x) = x2 – 3x - 2, find (f + g)(x).

O
A. (f+ g)(x) = -x-3

B. (f + g)(x) = x2 - x - 3

C. (+ g)(x) = x + 5x + 3

D. (f+ g)(x) = x-3
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Answer 1

Answer: Option B

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

Explanation:

In this problem we have the function

`f(x) = 2x - 1`

and the function

`g(x) = x^2 - 3x - 2`

They ask us to perform the operation:

`(f + g)(x)`

Therefore we must perform the algebaic summa of the function f plus the function g

`(f + g)(x)=f(x) + g(x)`

`(f + g)(x)=2x - 1 + x^2 - 3x - 2`

Now we siplify the expression

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