We begin by factoring and we get .

Now, When we look at it will be .

We can take out from the numerator and cancel out the denominator, leaving us with .

First, we can start off by factoring out constants from the numerator and denominator.

The 9/3 simplifies to just a 3 in the numerator. Next, we factor the top numerator into , and simplify with the denominator.

We now have

is defined as the sum of the two functions and .

As such

First, we must determine what is equal to. We do this by distributing the 3 to every term inside the parentheses,.

Next we simply subtract this from , going one term at a time:

Finally, combining our terms gives us .

is defined as the sum of the two functions and .

As such

To solve this problem, you must plug in the g function to wherever you see x in the f function. When you plug that in, it looks like this: . Then simplify so that your answer is: .

For , substitute the value of inside the function for and evaluate.

For , substitute the value of inside the function for and evaluate.

Subtract .

The answer is:

To simplify the expression, distribute the negative into the second parentheses, and then combine like terms.

Given and

Complete the operation given by .

Begin by realizing what this is asking. We need to combine our two functions in such a way that we find the difference between them.

When doing so remember to distribute the negative sign that is in front of to each term within the polynomial.

So, by simplifying the expression, we get our answer to be:

To add, simply combine like terms. Thus, the answer is: