For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)...

Question

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=1-x^2

Accepted Answer

All for F of X plus H F of X plus H minus F of X and F of X plus H minus F of X over H for the following function, our function is three minus X square. Let's first look for F of X plus H do that everywhere. We have an X, we will instead replace it with X plus H. So this change the three minus X plus H squared, we can now expand this to three minus X squared plus two X H plus H squared, which changes the three minus X squared minus two HX minus a swift. Now, we can find F of X plus H minus F of X where we have three minus X squared minus two H X minus H squared minus our original function three minus X squared carrying our negative. You will change these 2 -3 positive x squared at the end. Now we can cancel out some turns are threes will be gone and our X squares will be gone. We are then left with negative two H X minus H square, which we can factor out H H times negative two X minus H finally. We can find F of X plus H minus F of X over H which we have H times negative two X minus H over H where simplifies to negative two X minus H, you have every answer that we need for our problem. Now, if you look at the possible answers, we can determine that the answer to our problem turns out to be answered. Okay. I hope to help you solve the problem. Thanks for watching. Goodbye.

Struggling with College Algebra?

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=1-x^2

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