Suppose that the function h is defined, for all real numbers, as follows: 1x_5 ifxt-] h (x) = 3 if x=-1Find h (-3),h (-1), and h (4).h(-3) =h (-1) =62h (4)...

If $a$ and $h$ are real numbers, find (a) $f(a)$ (b) $f(-a)$ (c) $-f(a)$ (d) $f(a+h)$ (e) $f(a)+f(h)$ (f) $\frac{f(a+h)-f(a)}{h},$ if $h \neq 0$ $$f(x)=3-4 x$$

This is nine number problem affects equals two access choir minus X plus three. We have to find party F A. That is a square minus a plus. Three. We have just we have to just plug in x A in place of X, be F of minus A that is minus air squared minus minus a plus three. That it is square plus a plus three minus FDA that is minus a Squire minus a plus three that is a minus. Esquire minus tree. Depart H F A. Plus it that is a plus. It will square mine's a plus edge plus three a square plus it square minus two, which minus a minus edge plus three. Okay, this is E F E plus F h. So this will be is choir my A plus three plus at square minus, X plus three at a square, plus it square minus E minus edge plus six a phase F A play set minus f a develop patch. So if a place it we have all the calculated is square plus had square minus two. Ich is quite plus that square minus two edge minus a Oh, sorry. Minus ISS. Yes, mine to see minus edge minus in my assets. Plus three minus F A. That is a, uh, minus a Squire, minus a plus three divided by it. This is a square plus at square minus two. It minus a minus. X plus three minus a square. Plus a minus three by edge. He will get against laude. Squires covering it. Cancel out three and minus three. We'll get canceled out. So we'll be left with at square minus two. It minus Set by it. Let us take at as common. It will be at minus two a minus one by at at, and that's will get canceled out. So we'll have at minus two way minus one. As our answer These air, this is answer. And these are also the answers off the respective parts ABC, D and E, respectively. Next. Thank you.

Discipline. Number eight effects is given as three minus X squared. We need to find various things f a just again in place of X. This will be three minus a square. 1/4 minus C three minus minus is square three minus the square minus F off A. That is minus off. This quite negative of this quantity. Three minus a Squire that is. Choir ministry There is have a plus said that is three minus a place that hold square three minus X squared minus X squared mines to age E F A less effort. Okay, so if a is three minus X squared, minus three minus at square So three minus X Esquire minus three. Plus that square three and three we'll get canceled out. We'll be getting at square minus access square. Okay, if f a playset minus f a by it. We have found knowledge found of April said three miners here, square minus, had square minus two. It three minus a Squire mindset squad minus toe a at minus F A. That is three minus a square. Divide wedge. This is three minus eight square minus at square minds to it, minus three plus a squared my edge. It's quite square. Three and three. We'll get canceled out at that is minus set minus two way But that in minus set minus two way. Okay. And thes air. Also the answers off the respective parts A B C D. Okay. Thank you.

Have given edge off X is equal to cube Root off two X plus three minus for now ED off X equal to f off G off X. This is equal to f off z X and this is equal to Cuba. Route off two X plus three minus for if we take g off, X is equal to X plus 30 and f off X is equal toe cube root off X minus For then we will verify this F refugee off X. This is equal toe off toe explosive, Terry and we get this is a weird Tokyo group off two X plus terry minus for it verified, it means we have GOP acceptable to express Terrian fo accessible took your group of ex minus four.

Okay, this is seven number. Question effects is given as minus X squared plus four. So values we need to find is F A A. Just plug in a in place off X. This will be minus a square, plus four have minus E that is minus minus a square plus four that is minus X squared plus four C minus. F A. That is minus off negative of this value minus a square plus four that is a square minus four. The F A less edge that is minus a plus its whole square. Bless for that in minus a squared mindset. Square minus 28 plus four e e f a Bless F at okay F A is minus a square plus four plus F H is minus at square plus four that is minus a square minus at squared plus eight f is F A plus edge minus. F A by h. April says that this value minus X squared minus X squared minus 28 plus four and uh, minus F A means this value is quite minus four by at a square a square foreign for will it cancel out? We'll be left with mindset Squire, my Stewart by edge. That will be against it. Out. This will be mindset minus two way at at a natural be gone. So minus set minus two way Will weights answer. And these air also the answers off the respective parts. Thank you.