5

Find f(a), f(a + h), and the differencequotient f(a + h) − f(a)h,where h ≠ 0.f(x) = 8 − 2xf(a) = f(a + h) = F(a+h)-f(a)/h...

Question

Find f(a), f(a + h), and the differencequotient f(a + h) − f(a)h,where h ≠ 0.f(x) = 8 − 2xf(a) = f(a + h) = F(a+h)-f(a)/h

Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h ,where h ≠ 0. f(x) = 8 − 2x f(a) = f(a + h) = F(a+h)-f(a)/h



Answers

Find $f(a), f(a+h),$ and the difference quotient $\frac{f(a+h)-f(a)}{h},$ where $h \neq 0$
$$
f(x)=x^{2}+1
$$

This question Will even a function f x go to X square and the next time want to fight will be the and from the experts Arch. So what you need to replace the expert Express Arch If we expand the square again X squared plus your ex art plus under square. From here, you can find a effort. Express aren't minus. I have X devalued by art And then we get me go, Jill X squared plus two x arch plus X squared minus X squared off lunch. Now we'll see. We can can cancer the exclaim with the x square So we have left with the Jew Thanks, Arch Plus on square off aren't known It is on the top of confected arch Our sign so that you x plus lunch They've anybody not on. Then we can consider lunch with the aren't so growing your ego Judah two x plus

Okay, so we want to evaluate each of the falling. So here we have a volunteer at a so we have three A plus two and then we have evaluated at a plus each. So that's going to be three times a A plus h plus two, which is equal to 3 a.m. plus three h plus two and all for this term here, our numerator is this term minus this time. So we have 3 a.m. plus three h plus two in minus three a minus two and this is all over h. And now we can counsel out or like terms here and now we haven't h over h that we can cancel, so we see that we're left with a three.

In question were given a function Have thanks in coaching X minus X square. And the next time we want to find out from the X plus lunch. So what you need to replace the X by the Express Arch Toe Express March minus express our square and we exp ban the break it We're gonna express crunch minus X Grandma two X minus one square. And from here we can find ah air from that banks plus arch minus f actually reading my art. And then we get Nico Chew X plus minus X squared minus actual Thanks. Arch minus square And now we're minus F. Thanks. So minus X plus x square The Iranian by lunch. Here we see, we can concern the ex Quinto. Thanks exclaim with x square, Then we have left was at minus two x aren't minutes but square off. Aren't you noticed that on the term a confected much outside so him one man ist you x minus aren't evenly by touch and then we can consider un chair Ever get go through one minus two x minus arch

Well, you're looking to find after explosive. Each minus all in reach for half of X is equal to exclude her. So we know that half of experts agent who sequitur explosive squared minus x squared. All rage. Now we expand. Newman, you begin X squared plus two ex age plus h school minus X squared A lot of age. So we see that the ex Claire's kids all even us with two x h waas h squared Divide about each. We simplify those two. Get to X Ross H Heather Harlan Answer.


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