Chapter 4.4, Problem 38E

Given that f(x) = x² + 1, g(x) = the domain of each function in Exercises 21-29. Then find an equation for the function and calculate its value at x = 1. and h(x) = Jx, find X- 2 x 2' 21. (f+g)(x) 22. (3fh)(x) 23. () 24. (gof )(x) 25. (gog)(x) 26. (gohof)(x) 27. g(x – 5) 28. h(3x) + 1 29. h(Зx + 1)

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Give a thorough analysis of the function f(x) = x^3 / (1+x)^2 , and sketch an accurate graph of the function.