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For the given functions f and g , find the indicated composition. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. f(x) = 4×2 + 6x + 8, g(x) = 6x – 3 (g∘f)(x)

Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = x4 – 81×2

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 2×2 – 7, g(x) = x – 4Find (f – g)(x).

Graph the polynomial function. f(x) = x(x + 1)(x + 3)

Determine whether the relation is a function. Give the domain and range of the relation.{(11, -2), (-5, -1), (3, -1), (-4, 1), (4, 3)}

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 5×2 + 2, g(x) = x – 2Find (f – g)(x).

Answer the question.How can the graph of f(x) = -(x – 3)2 + 8 be obtained from the graph of y = x2?

Determine whether the function is a polynomial function.f(x) = x7 – x4 + x

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 6x + 7, g(x) = 9x – 5Find (fg)(x).

Given the graph of f(x), find the following information. Where applicable, write answer in interval notation. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. Make sure to label each individual answer. (a) Domain: __________   (b) Range: __________ (c) x-intercept(s): __________ (d) y-intercept(s): __________