Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = x3 + 1, g(x) = 

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


Answer: D

Mathematics

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Solve the equation by factoring.x2 - 25 = 24x

A. {1, -25} B. {-5, 5} C. {-5, -5} D. {-1, 25}

Mathematics

Sketch the logarithmic function. Determine the domain, range, and the equation of any vertical asymptotes.f(x) = log4(x - 2) - 2

A. Domain: (-2, ?), range: (-?, ?)
Vertical asymptote: x = -2

B. Domain: (2, ?), range: (-?, ?)
Vertical asymptote: x = 2

C. Domain: (-2, ?), range: (-?, ?)
Vertical asymptote: x = -2

D. Domain: (2, ?), range: (-?, ?)
Vertical asymptote: x = 2

Mathematics

Solve the equation graphically. Approximate the solution to the nearest hundredth, if appropriate. = 4

A. 14 B. 16 C. 36 D. 18

Mathematics

Find the parametric equations that define the curve shown.

A. x = 3sin ( (t - 1)), y = 4 cos ( (t - 1)); 0 ? t ? 3
B. x = 4sin ( (t - 1)), y = 3 cos ( (t - 1)); 0 ? t ? 4
C. x = 4sin ( (t - 1)), y = 3 cos ( (t - 1)); 0 ? t ? 3
D. x = 3sin ( (t - 1)), y = 4 cos ( (t - 1)); 0 ? t ? 4

Mathematics