The graph of a logarithmic function is shown. Select the function which matches the graph.

A. y = log (x) - 3
B. y = 3 - log (x)
C. y = log (x - 3)
D. y = log (3 - x)


Answer: C

Mathematics

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Solve the problem.The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 32 cm long plays a B, what is the length of the string that plays a D?

A. 32 cm B. 54 cm C. 48 cm D. 59 cm

Mathematics

Use properties of exponents to simplify the expression. Express answer in exponential form.93 ? 9-5

A. -98 B. 9-15 C. 9-2 D. -9-2

Mathematics

Give a rule for the piecewise-defined function. Then give the domain and range.

A. f(x) = ; Domain: (-?, 0) ? {5}, Range: (-?, ?)
B. f(x) = ; Domain: (-?, ?), Range: (-?, 0] ? {5}

C. f(x) = ; Domain: (-?, ?), Range: (-?, 0) ? {5}

D. f(x) = ; Domain: (-?, 0] ? (5), Range: (-?, ?)

Mathematics

Find functions f and g so that f ? g = H.H(x) = 

A.

f(x) = g(x) = - 1/6

B.
f(x) = x2 - 6; g(x) = 

C.
f(x) = g(x) = x - 6

D.
f(x) = g(x) = x2 - 6  

Mathematics