For f(x) = and g(x) = - find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fo g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fog is {x | } (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of fog is all real numbers. (b) (g o f)(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of gofis (x | ). (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of gof is all real numbers. (c) (fo f)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fof is (x || (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) Click to select your answer(s).

Q: Given the functions f(x) = 2x* and g(x) = 3 · 3ª, which of the following statements is true?

A: Given,        The functions are fx=2x4 and gx=3·3x.

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A:

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A: The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by…

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A: We have to find out composition function and domain of that

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A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

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A: Given  The function is f(x) = x3 - 2x - 5 .

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A: Put x= -3 in given function and solve for k,

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A:

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A: Here given function as fx=80-9x2-x3

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A: First of all we will see what the extremum value of g will be.

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A:

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A:

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A: compare this polynomial with the standard form of a polynomial function    so here we have

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A: Given

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A: Answer to the question as follows:

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A:

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A:

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A:

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A:

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A: This question is based on application of derivative.

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A: g(x)=(x2-4)2 attain the absolute maximum at in the interval -3,1

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A: For the detailed solution of the problem follow the next step.

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A:

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A: graph of the function is shown below

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A: