Question

F(x) = |2x +1| +3
g(x) = −2
Find (ƒ + g)(x).

Answer 1

Explanation:

To find the value of (f(x) + g(x)) where f(x) = |2x + 1| + 3 and g(x) = -2, we need to find the values of f(x) and g(x) separately and then add them.

So, first, we find the values of f(x):

f(x) = |2x + 1| + 3

f(x) = |2x + 1| + 3 = (2x + 1) + 3

f(x) = 2x + 4

Now, we find the values of g(x):

g(x) = -2

g(x) = -2

Next, we add the values of f(x) and g(x) to get:

(f(x) + g(x)) = 2x + 4 + (-2)

(f(x) + g(x)) = 2x + 2

Therefore, the value of (f(x) + g(x)) is 2x + 2.

So, the answer is 2x + 2.

Answer 2

Hello!

We are going to solve the question with our given functions.

We were given:

• f(x) = |2x +1| + 3
• g(x) = -2

Those are our two given functions, we will use those to solve for (f + g)(x).

Keep in mind that (f + g)(x) could also be written as f(x) + g(x)

With this knowledge, we can solve our question.

Solve:

(ƒ + g)(x) = f(x) + g(x)

Plug in our f(x) and g(x) functions and solve.

f(x) + g(x) = |2x +1| + 3 - 2

Simplify.

|2x +1| + 3 - 2

|2x +1| + 1

Since we can't simplify this any further, the above will be our answer.

(f + g)(x) = |2x +1| + 1

Answer:

|2x +1| + 1