For the pair of functions, find the indicated domain.f(x) = x2 - 16, g(x) = 2x + 3Find the domain of f ? g.
A. [4, ?)
B. (-4, 4)
C. [0, ?)
D. (-?, ?)
Answer: D
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Provide an appropriate response.A pediatric speech therapist started her own practice in 2004. The function y = 3.2 x + 10.53 models the number of patients she treated each year, where x is the number of years after 2004. The model was found using data for the years between 2004 and 2012. What does the model estimate as the number of patients in 2009? Round to the nearest whole number. Is this interpolation or extrapolation?
A. 29; interpolation B. 27; interpolation C. 25; extrapolation D. 27; extrapolation
Simplify the complex rational expression.
A.
B.
C. x2 + 1
D. 1
Solve the problem.A circle of radius r is inscribed in a square with sides 2r as shown in the figure. Express the total of the shaded areas in terms of r and ? as a completely factored polynomial.
A. r2(2 + ?)(2 - ?) B. ?2(4 - r) C. r2(4 - ?) D. r(2-?)2
Provide an appropriate response.A cruise ship carried the following numbers of passengers on ten cruises last winter: 1678, 1726, 1765, 209, 1662, 1719, 1929, 1561, 1650, and 1816. Which measure of central tendency gives the best average load?
A. Median B. Weighted mean C. Mean D. Mode