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if f(x) = -4x + 3 and g(x) = 3x^2 + 2x - 4 find (f+g) (x)

a. (f+g) (x) = 3x^2 + 6x + 7
b. (f+g) (x) = 4x - 1
c. (f+g) (x) = -2x - 1
d. (f+g) (x) = 3x^2 -2x -1

Respuesta :

texaschic101
f(x) = -4x + 3
g(x) = 3x^2 + 2x - 4

(f + g)(x)........so we r basically just adding them

-4x + 3 + 3x^2 + 2x - 4 = ......combine like terms
3x^2 - 2x - 1 <===== ur answer
Louli
We are given that:
f(x) = -4x + 3
g(x) = 3x^2 + 2x - 4

To find (f+g)(x), we will just add the two given functions as follows:
(f+g)(x) = f(x) + g(x)
= -4x + 3 + 3x^2 + 2x - 4
= 3x^2 + (-4+2)x + (3-4)
= 3x^2 - 2x - 1

Comparing the calculated result to the choices we have, we will find that the correct choice is: D

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