Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = x2 + 1 , g(x) =  - 1

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


Answer: C

Mathematics

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Use Jefferson's method to find the apportionment.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table.Find the apportionment for state D using Jefferson's method.

A. 23 B. 25 C. 26 D. 24

Mathematics

Provide an appropriate response.The price charged for 2 different paperback books at two different bookstores can be represented by the matrix P =  . The quantities of each book sold at each store can be represented by the matrix Q = . Use the matrix operations on a graphing calculator to show that the transpose of the income generated (PQ)T is equal to the product of the transposes of P and Q in reverse order, QTPT.

What will be an ideal response?

Mathematics

Find the standard form of the equation of the ellipse satisfying the given conditions.Foci: (0, -2), (0, 2); y-intercepts: -5 and 5

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

Mathematics

Use a graphing calculator to plot the data and find the quadratic function of best fit.The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to plot a scatter diagram. What is the quadratic function of best fit?

A. H(x) = -2.679x2 - 26.607x + 168.571 B. H(x) = -2.679x2 + 26.607x - 168.571 C. H(x) = 2.679x2 + 26.607x + 168.571 D. H(x) = -2.679x2 + 26.607x + 168.571

Mathematics