0 < x < 2. Let f(x) eCos T sin a < x < 27 2 Let g(æ) = f(s)ds = Ss T Find g and g(27). 2

Q: 3. Let f (x) = vx and g(x) = x + 1. Determine all possible values for which f(g(x)) = g(f(x))

A: Function composition of two function f(x) and g(x) is the process of forming a new function h(x)…

Q: The graphs of the functions f and g are shown below. y 8 7 g(x) 6 f(x) 5 4 V ZA Z 3 2 1 -3 -2 -1 4 5…

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Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: You are given the graph of f(x) shown below. Sketch two functions F where F'(x) = f(x). In one case,…

A: Here, we have to given a graph of function f(x). We need to find two choices of function F'(x)=f(x)…

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below

Q: Use sum and constant multiple rules to differentiate the functions, indicate where the rules are…

A:

Q: sec? r da = F(x)

A: Given- ∫0π4sec2xdx=Fxab To find- The value of Fx Identity Used- ∫sec2xdx=tanx

Q: 7. Find the Domain of cach of the following functions. a) f(x) =2-V-4 b) f(x) =5x² - x+17

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Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: Given,  f(x)= (x2+x)x-2 = (x2+x)/x2 = (1+1/x) differentiate with respect to X, f'(x)= d/dx 1 + d/dx…

Q: 4) Let the composition of two functions f(x) = sin(x) - 2x² + 1 and g(x) = eº be h = fog. At a point…

A: f(x) = sin(x) - 2x2 + 1g(x) = e0 = 1 h(x) = ()(x)= f(g(x))= sin(g(x)) - 2(g(x))2 + 1= sin(1) - 2(1)2…

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

A:

Q: 2) Carla says that the graph below represent the function of f(x) = - (x + 1) ?(x - 2)(x – 4) .…

A: Graph of polynomial

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find a function of the form f(x) = a sin(bx - c) such that the graph of f matches the figure. f(x) =…

A: function f(x).

Q: The graph of f(x) is shown. At which of the point(s) is f '(x) > 0 and f "(x) 0 and f "(x) <0. If…

A: Solution :

Q: 1. Differentiate. Do not simplify. а. f(0) = 3cos(0*)sin(0³ – 2) b. f(x) = 4x + 25-x² + 2x-1

A: