Suppose the domain of f(x) = [-2, 3] and the domain of g(x) = [-3, 2]. %3D %3D Find the domain of each if possible. Explain your work. a) (f + g)(x) () (2)

Q: Write the function as a composition of two functions. y = (9x+8)7

A: The given function y=9x+87. We have to write the function as a composition of two functions.

Q: Write the the function f(x) = - 4x + 16z 20 in the form f(z)= a(z-p)+qby completing the f(1)%3D 1) -…

A: We need to write -4 in the first box and divide first two terms by -4 (-4) ÷ (-4) = 1 16 ÷ (-4) = -4…

Q: x2 + (12 – 5x) | a. Evaluate f(6) given that f(x) = 8x f(6) = Preview b. Evaluate g(x + 2) given…

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Q: Find f(3) for the given function. f(x)=(x-2)(x-4)(x+5)

A: Explanation of the answer is as follows

Q: Let f(x)=2x-1 and g(x)=x² + 4. Evaluate (gof)(x). (gof)(x) = (Simplify your answer.)

A: fx=2x-1, gx=x2+4

Q: 2. Rewrite the function f(x) =-3(x+2)-3 in the form f(x) =ax+bx+c.

A: The given function is, f(x)=-3(x+2)2-3. Rewrite the given function as follows.…

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial?…

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Q: Let f(x)=x² -x+2 and g(x)=2x – 1, find each of the following: a. (fg)(x) and identify its domain b.…

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Q: Find f. g, g. f, and g . g. f(x) = x2, g(x) = x - 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…