Given f(x) and g(x), find the indicated composition and state its domain.f(x) = 4x2 + 2x + 4, g(x) = 2x - 7Find (g ? f)(x).
A. 4x2 + 4x + 1, all real numbers
B. 8x2 + 4x + 1, all real numbers
C. 4x2 + 2x - 3, all real numbers
D. 8x2 + 4x + 15, all real numbers
Answer: B
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Provide an appropriate response.Consider the following preference schedule.If the winner is decided by plurality, which of the following fairness criteria is violated?
A. Fairness Criterion 2 B. Fairness Criterion 4 C. Fairness Criterion 3 D. All of these
The graph of a function f is given. Use the graph to answer the question.For what numbers x is f(x) > 0?
A. [-5, -3), (3.5, 5) B. (-? -3) C. (-3, ?) D. (-3, 3.5)
Minimize subject to the given constraints.
?
?
Separate the minimum value and the point with a comma. Enter the point using coordinate notation: (x, y).
What will be an ideal response?
A round plate in. in diameter is to have ten holes drilled through it. This is accomplished by creating a drawing for half the circle and the then "mirroring" the drawing for the other half of the circle. The
in. diameter holes are to be equally spaced on a
style="vertical-align:-1px;" varid="variable_id_field" variablename="impvar_9d60b06a63a046538f1fc4609" class="wirisformula" /> in. concentric circle in the top half of the plate. What is the angle A between the holes? What is the angle B between the horizontal and each of the end holes?
A. A = °, B =
°
B. A = °, B =
°
C. A = °, B =
°
D. A = °, B =
°
E. A = °, B =
°