For f(x) = 4x + 1 and g(x) = x2 – 5, find (f – g)(x).

Hey there! How are you today?

First, let's understand what we're doing.
We are dealing with subtracting functions.
Always be sure to know what you're subtracting by what - you don't want to misinterpret the situation and mess up over a minor error.

Now, let's get to the problem.

f(x) = 4x + 1
g(x) = x^2 - 5

Find (f - g)(x).

By "Find (f - g)(x)", we mean to subtract f(x) by g(x).

Remember what f(x) is and what g(x) is.

So, let's set up our equation.

4x + 1 (Remember to subtract like-terms)
-x^2 + 5
——————
-x^2 + 4x + 6 is your solution.

Answer choice "D.)" matches our solution.

I hope this helps!