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Question 14g(x)h(x)LLvaluesr-valuesg(2) If f(e) = then h(z)Question Help:VideoSubmit QuestionJump to AnswerQuestion 15Score on last try: 0 of 10 pts. See Details for more:Try a similar question You can retry this question belowIf fle) = find: Vz + 4f'(2)f'(2)Question Help: VideoSubmit Question Jump to Answerf' (1)
Question 14 g(x) h(x) L L values r-values g(2) If f(e) = then h(z) Question Help: Video Submit Question Jump to Answer Question 15 Score on last try: 0 of 10 pts. See Details for more: Try a similar question You can retry this question below If fle) = find: Vz + 4 f'(2) f'(2) Question Help: Video Submit Question Jump to Answer f' (1)
Answers
Use the tables of values of $f$ and $g$ to answer each problem. $$\begin{array}{|c|c|}\hline x & f(x) \\\hline 2 & 4 \\\hline 4 & 9 \\\hline 6 & 13 \\\hline 13 & 17 \\ \hline\end{array}$$ $$\begin{array}{|c|c|}\hline x & g(x) \\\hline 0 & 0 \\\hline 2 & 4 \\\hline 3 & 9 \\\hline 4 & 16 \\ \hline\end{array}$$ $$(f+g)(2)$$
We have. Thanks equals the absolute value of the X and G of X April's one defined by X square Last one. So part A, we have f of G of four of G four. So g a four gives this one over 17. And now we're doing f uh, 17. And that equals the absolute value of 17. I'm sorry. 1/17 which equals 1/17 for part B. We have she have effort to Okay, uh, and of to so in my bunch India. So value to to So I have g uh, you knew which is one over who's where. Which is four plus one, which is five sing fof of one and, uh uh uh, one. So the absolute value of one is one. So now I have over here, uh, one. You know, that equals one. And there would be GMT of zero g of G zero. So you're my G function and I think in his hero for the X, which gives me 1/0 plus one, which is one. So now I have g of one which equals one over one square, which is one plus one, which is to
This Will we have the composition of F. G? So it's for for rewriting this. So what's tube to that's equal to four? So we have evaluated for now. And what's that? That's equal to a nine.
Okay, so we have the composition. Let's start regulating this s G of F of two. And its start by finding effort to That's a four. So we have g evaluated up for and you voted for is equal to a 16.
Given F of X equals two. X and G of x equals three X squared plus one. We want to find the following composition of functions. Now, for the first one we have F of G 04. This is the same as F of G of four. That means we First replace the X&G x four and we have F of three times 4 squared Plus one. This is the same as F of Three times 16 plus one, that's 49. And then from here we replace The X&F by 49 and you get two times 49, which is equal to 98. And so this is the value of F of G of four. And then for G of FF two, we do G of F of two. And in this case we replace first the ex N F by two and we get G of Two times two, this is G 04. And then from here we replace X&G x four and we get three times four squared plus one, which is 49. And for part C we have F of F of one. This is the same as F of F of one. We first replace the ex N F by one and we get F of two times 1. This is equal to F. Of two and we will not replace the X and F by two. And we get two times two which is for. And so this is the value of F of F one. And then lastly we have G O. G of zero. This is equal to G of G of zero and this is just Reprint X&G x zero. Or we get three times zero squared plus one. This is the same as Trios one. And now we replace X and G by one and we get three times one squared plus one. Or this is equal to four. So this is the value of G of G.