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Calculus & Its Applications
- 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)arrow_forwardFind f-1 if f (z) = iz + 1.arrow_forwardf(x) = 5+ In xarrow_forward
- Let f (x) = = g(x) h(x) and consider the following table of values: The value of f'(-9) is Number g (-9)h (-9)g (-9)h (-9) -2 3 -5 3arrow_forwardConsider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Jaarrow_forwardDifferentiate the function f(x) =x*(1– 4x?)3. Express your answer in simplified, factored form.arrow_forward
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