The graphs of the functions f and g are shown in the figure. y 4 f 1 -1 1 2 3 4 6. f(x) Let u(x) = f(x)g(x) and v(x) g(x) (a) Find u'(1). (b) Find v'(5). 3.

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x + 1) + 1

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A: Solution

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A: to find integration.

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A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

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Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

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Q: -6 -5 -4 -3 Ņ Using the graph of f(x)= -1 1 5 4 3 2 - O -1 -2 -3 بنا -4 11 ţ -6 2 3 4 5 6 X (x) ==…

A: The graph of the function is To evaluate: The value of f'(-2).

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Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

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Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

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Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

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Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

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A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)