Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = x -
and g(x) = x -
, find (f ? g)(x).
A. (f ? g)(x) = x2 - 5
B. (f ? g)(x) = x2 + 2x + 5
C. (f ? g)(x) = x2 + 5
D. (f ? g)(x) = x2 - 2x + 5
Answer: D
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A surveyor whose eye is 6 feet above the ground views a mountain peak which is 2 horizontal miles distant. See the figure below. Directly in his line of sight is the top of a surveying pole which is 10 horizontal feet distant and 8 feet high. How tall is the mountain peak? Note: 1 mile is 5280 feet.
A. 5143 feet B. 2118 feet C. 2546 feet D. 4798 feet
Find the x-intercepts (if any) for the graph of the quadratic function.f(x) = x2 + 16x + 47 Give your answers in exact form.
A. (-16 ± , 0)
B. (8 ± , 0)
C. (-8 ± , 0)
D. (8 + , 0)
Multiply.(x - 3y)(-4x + 11y)
A. -4x2 + 23xy + 23y2 B. x2 + 23xy + 23y2 C. x2 + 23xy - 33y2 D. -4x2 + 23xy - 33y2
Write the decimal in words.31.7
A. Thirty-one and seven hundredths B. Thirty-one and seven thousandths C. Thirty-one and seven tenths D. Thirty-one and seven millionths