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 + 4x + 8, g(x) = 4x – 5 (g∘f)(x)

Find the vertex of the parabola. 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) = -3×2 – 12x + 14

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)

Graph of the quadratic functionf(x) = -2(x – 5)2 + 2

Determine whether the relation is a function. Give the domain and range of the relation.{(19, -4), (3, -3), (5, -3), (12, 3), (28, 5)}

Graph of the quadratic functionf(x) = -3(x – 3)2 + 4

Graph of the quadratic function.f(x) = -x2 – 4x + 5

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 – 36×2

Determine whether the function is a polynomial function.f(x) = x7 – x2 + x

State the domain of the rational expression. Use interval notation to express your answer. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.