Question

If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+9)(x).

A)3x-1
B)7x-1
C)7x-3
D)4x-3

Answer 1

B) 7x - 1

Explanation:

In this question, you're going to solve by adding both f(x) and g(x) together.

You're finding (f+g)(x), meaning that you will be adding both of the equations to get your answer.

What (f+g)(x) looks like:

(5x - 2 + 2x + 1)(x)

What you would do is solve to get your answer. You're going to be combining like-terms and adding.

`(5x - 2 + 2x + 1)(x)\\\\\text{Combine the values with x}\\\\7x-2+1\\\\\text{Now you would finish by adding -2 and 1}\\\\7x -1`

When you're done solving, you should get 7x - 1

This means that B) 7x - 1 would be the correct answer.

I hope this helps you out.

Good luck on your academics.

Have a fantastic day!