Question

Question 1 of 25

f(x) = 3x2 + 6x - 5
g(2) = 4x3 – 5x2 + 6
Find (f + g)(2)
O A. (f +9) (c) = 4x + 3x2 + 112 +1
O B. (f +g)(x) = 723 + 2? + 1
O c. (f +g)(x) = -4x3 + 8x2 + 6x – 11
O D. (f +g)(x) = 4x3 – 2x² +63 +1

Answer 1

D

Explanation:

Answer 2

The sum of the functions f(x) = 3x^2 + 6x - 5 and g(x) = 4x^3 - 5x^2 + 6 is given by (f + g)(x) = 4x^3 - 2x^2 + 6x + 1. The correct answer is option B.

To find (f + g)(x), you need to add the two functions f(x) and g(x):

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

f(x) = 3x^2 + 6x - 5

g(x) = 4x^3 - 5x^2 + 6

Now, add the two functions:

(f + g)(x) = (3x^2 + 6x - 5) + (4x^3 - 5x^2 + 6)

Combine like terms:

(f + g)(x) = 4x^3 - 2x^2 + 6x + 1

So, the correct answer is:

(f + g)(x) = 4x^3 - 2x^2 + 6x + 1

Therefore, according to the given question, the correct answer would be option B.

The complete question is:

f(x) = 3x ^ 2 + 6x - 5

g(x) = 4x ^ 3 - 5x ^ 2 + 6

Find (f + g)(x)

A. (f + g)(x) = - 4x ^ 3 + 8x ^ 2 + 6x - 11

B. (f + g)(x) = 4x ^ 3 - 2x ^ 2 + 6x + 1

C. (f + g)(x) = 4x ^ 3 + 3x ^ 2 + 11x + 1

D. (f + g)(x) = 7x ^ 3 + x ^ 2 + 1