Question

If f(x) = 5x^3-2 and g(x)= 2x+1, find (f+g) (x).

Answer 1

A. 3x^2 - 1

B. 3x^3 - 1

C. 5x^3 + 2x - 1D. 10x^3 - 2

The answer is C. 5x^3 + 2x - 1

Answer 2

Hey there!

To start, whenever you are performing (f+g)(x), this means that you are to add the functions f(x) and g(x) together. 

In this case, f(x) is equal to 5x^3-2 and g(x) is equal to 2x+1.

Because you are adding the two expressions as according (f+g)(x), you should set up this expression:
(5x^3-2)(2x+1)

Now, combine your like terms (terms of the same variables that are all raised to the same power):
(5x^3-2)(2x+1)
=5x^3+2x-1

Therefore, (f+g)(x)=5x^3+2x-1

Hope this helps and I hope you have a marvelous day! :)