For the given functions f and g, find the requested function and state its domain.f(x) = 5x3 + 1; g(x) = 2x2 - 1Find f ? g.
A. (f ? g)(x) = 5x3 + 2x2 - 1; (-?, ?)
B. (f ? g)(x) = 10x5 - 5x3 + 2x2 - 1; (-?, 0) or (0, ?)
C. (f ? g)(x) = 10x5 - 5x3 + 2x2 - 1; (-?, ?)
D. (f ? g)(x) = 10x6 - 5x3 + 2x2 - 1; (-?, ?)
Answer: C
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Provide an appropriate response. Use the law of sines to solve the triangle ABC if a = 22, b = 12, and A = 42°. If there are two possibilities, find both solutions. Round sides to four significant digits and angles to the nearest 0.1°.
A. c = 29.40, B = 21.4°, C = 116.6°; c = 30.78, B = 68.6°, C = 69.4° B. c = 30.78, B = 68.6°, C = 69.4° C. c = 29.40, B = 21.4°, C = 116.6° D. c = 9.451, B = 111.4°, C = 26.6°
Select the graph of the function using the curve-sketching guide.
?
?
A. ?
B. ?
C. ?
D. ?
Use the intermediate value theorem to show that the polynomial has a real zero between the given values of a and b.a = 1 and b = 2f(x) = 3x4 - 7x2 - 6
A. f(1) = -10 and f(2) = 14 B. f(1) = 10 and f(2) = -14 C. f(1) = -9 and f(2) = 15 D. f(1) = 10 and f(2) = 14
Find the area of the rectangle. Be sure to express area in square units.
9 miles
A. 84 sq mi B. 81 sq mi C. 77 sq mi D. 36 sq mi