Can someone tell me if I did this the right way? It seemed easy but it makes me worried that I did it wrong.
h is not equal to 0
f(x)=7x-9
f(x+h)-f(x)/h=
7(x+h)-9-(7x-9)/h=
7x+7h-9-7x+9/h=
7h/h=
7
It is correct. I assume you are supposed to be doing limits, but in this case limitof h/h as h approaches zero is 1.
Thank-you.
To verify if you did the calculations correctly, we'll go through each step of the process and check if the simplifications are accurate.
Starting with the given expression:
f(x+h) - f(x) / h
Plug in the expression for f(x):
(7(x+h) - 9) - (7x - 9) / h
Now, let's simplify it step by step:
Step 1: Simplify the expression within parentheses.
7x + 7h - 9 - 7x + 9
Step 2: Combine like terms.
The 7x and -7x cancel each other out, and the 9 and -9 also cancel each other out.
This leaves us with:
7h / h
Step 3: Simplify the expression further.
h divided by h is equal to 1, so:
7 * 1 = 7
Therefore, the simplified expression is 7.
If your final answer matches 7, then you have done the calculations correctly.