Question

F(x) = 2x – 1 and g(x) = x2 – 3x – 2, find (f + g)(x)

A. (f + g)(x) = x2 – x – 3
B. (f + g)(x) = x – 3
C. (f + g)(x) = –x – 3
D. (f + g)(x) = x2 + 5x + 3

Answer 1

To find (f+g)(x), add the two equations and combine like terms.

2x-1+x^2-3x-2
-x-1+x^2-2
-x-3+x^2

Rearrange
x^2-x-3

Final answer: A

Answer 2

Correct option is:

A. (f + g)(x) = x² – x – 3

Explanation:

We are given:

f(x) = 2x – 1 and g(x) = x² – 3x – 2

We have to find (f+g)(x)

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

= 2x -1 + x² - 3x - 2

= x² +x(2-3) -1-2

= x² -x -3

Hence, Correct option is:

A. (f + g)(x) = x² – x – 3