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- How do you find the domain for the composition of two functions, fg ?arrow_forwardFor the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant. 31. Find the local extrema for the function graphed in Exercise 28.arrow_forwardSketch the graph of a function f with domain R that satisfies all conditions below simultaneously. For this question only, you do not need to prove or explain your answer, as long as the graph is correct and very clear. We want only one single function f that satisfies all the conditions, all at once. Make your graph tidy and unambiguous. 1. lim f(x) = 2 7. lim f(x) = 5 I-1 2. lim f(x) exists for every a e R, 8. lim [f(x)]? = 1 except a = -2 ,a = 2 and a = n. 9. lim f(f(x)) = 3 3. lim f(x) = f(2) I+2+ 10. lim f(x) = -1 4. lim f(f(x)) = 5 11. lim f(2/(x) – 1) = 0 5. |f(r)| # 1 I-2 6. lim f(x) # f(3) 12. lim f(f(x)) = -3 I-3 I-1arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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