Answer:
is the answer
given the function .
Step-by-step explanation:
is the given function.
I'm going to do some examples of plugging in because that is what this problem is asking you to do.
Example 1: What is f(2)?
f(2) means we are going to replace x with 2 in the thing we called f:
Example 2: What is f(-2)?
f(-2) means we are going to replace x with -2 in the thing we called f. Before we do this I just wanted to tell you something here about negative numbers or expressions. When plugging in either of these, use ( ) around the number you are plugging in. So I should re-say my first line here.
f(-2) means we are going to replace x with (-2) in the thing we called f:
.
Example 3: What is f(cat+tuna)?
f(cat+tuna) means we are going to replace x with (cat+tuna) in the thing we called f:
To expand the top, we are going to use this formula for squaring a sum:
.
Ok let's move on to the true problem:
f(x+h) means to replace x with (x+h) in the thing we called f:
This is really the same problem we had above except without the cat and the tuna but with x and h respectively instead.