0 Question 4 f(x) = for a # 2 for x = 2 Let fbe the function defined above. For what value of kis fcontinuous at x = 2? A (В (2x+1)(x-2) r-2 ⓇE 0 2 3 (10) 5

Q: 3. Use the first derivative test to locate all local extreme for f(x) = x - 9x2 + 24x

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Q: Example 20 Let functions f and g be defined by f(x) = 2x +1 and g(x) = x2 – 2 respectively. Find %3D…

A: f(x)=2x+1 and g(x)=x2-2

Q: f(x) The quotient, denoted by 2, is the function denoted by 2(2) = g(x) excluding the values of x…

A: Given that the quotient, denoted by fg, is the function defined by fg(x)=f(x)g(x) , excluding the…

Q: (4.1) Find the absolute extrema of the function f (x) = 2x3 -9x2 - 24x-2 on the interval [-2,0]. [2…

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Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

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Q: Given f(x) = 2x²-5x - 1 and g(x) = 2sin x, determine the values of x when f(g(x)) = 2 for 0 ≤ x ≤ 2.

A: The composite function is defined as a function made of the other functions, where the output of one…

Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} f(x) = 4x + 5 3. 4.…

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Q: 2. (3 marks) be the functions defined by f(x) = x² – 5 and g(x) = vx-5. Find (b) (fog)(- 5) Let f…

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Q: 8. (f * g)(x) = (f • g)(x) a. True b. False 9. (fog)(x) # (g o f)(x) а. True b. False 10. The…

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Q: АСTIVITY 2 Direction: Read each instructions carefully and answer as required. A. Differentiate the…

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Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: 1. Find f'(x), f"(x), and f(x) for the following functions. a. f(x) = (2-3x)5 b. f(x) = 2¹2 +324 c.…

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Q: Given the function f(x) = Vx – 4 has an inverse, find f-1(x). Then, ACCURATELY graph f(x), f-1(x)…

A: Given: f(x)=x-4. To Find: fx, f-1x and fof-1x

Q: 2. Given that f(x) = 6 1-a find and simplify f 2²4) Show all of your work clearly.

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Q: Suppose that the functions q and r are defined as follows. q (x) = -2x+2 r(x)=x² Find the following.…

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Q: 19. Derive the formula for the Product Rule for four functions. (fghw)' = f'ghw+ fg'hw+ fgh' w +…

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Q: Can you please explain how to tell at what values the function is concave up or down

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Q: 3. Suppose that f(x)=2000x-.02.r³+6²-2216r-1920. Find all local and global maxima and minima of this…

A: Given: The given function fx=2000x-0.02x3+6x2-2216x-1920. Our aim is to simplify the highlighted…

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: only HANDWRITTEN answer needed ( NOT TYPED)

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Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

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