Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = , g(x) = 4x - 7

A. Yes, no
B. No, yes
C. Yes, yes
D. No, no


Answer: C

Mathematics

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Solve the problem.Find the current yield of a corporation that reported a dividend of $0.97 and a closing price of $20.19. Round to the nearest tenth of a percent.

A. 20.8% B. 2.1% C. 0.5% D. 4.8%

Mathematics

Find the requested value.If p(x) = 40x5 - 40x4 + 40x2 and q(x) = 8x2, find ()(x).

A. 5x3 - 6x2 + 8 B. 5x2 - 5x + 5 C. 5x3 - 5x2 + 5 D. 5x3 - 5x2 + 5x

Mathematics

Solve.A rectangle that is x feet wide is inscribed in a circle of radius 32 feet. Express the area of the rectangle as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of a foot, which will maximize the area of the rectangle.

A. 45.3 feet B. 44.5 feet C. 45.7 feet D. 44.9 feet

Mathematics

Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and the vertical clearance must be 12 ft at a point 5 ft from the center. Find an equation for the ellipse. 

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics