Find the composite function for the given functions and state the domain. f ? g for f(x) = x2 - 16 and g(x) = 
A. - 16, for all x
B. x - 16, for x ? 0
C. , for (-?, -4] ? [4, ?)
D. x - 4, for x ? 0
Answer: B
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Evaluate the function.f(x, y) = xy5 + x6- y6; find f(x, x) - f(x, 0)
A. 0 B. y6 C. xy D. x6
Determine whether the function is one-to-one. If it is one-to-one find an equation or a set of ordered pairs that defines the inverse function of the given function.
A. one-to-one;
B. one-to-one;
C. not one-to-one
D. one-to-one;
Solve the linear programming problem.Maximize 6x1 + 7x2subject to 2x1 + 3x2 ? 12 2x1 + x2 ? 8and x1 ? 0, x2 ? 0
A. maximum = 28 when x1 = 0 and x2 = 4 B. maximum = 38 when x1 = 4 and x2 = 2 C. maximum = 32 when x1 = 3 and x2 = 2 D. maximum = 39 when x1 = 3 and x2 = 3
Solve the problem. Round money amounts to the nearest cent.Lisa wants to buy a piece of nylon cord that measures 447 cm. The price is $3.17 per meter. How much will Lisa have to pay?
A. $7.09 B. $12.83 C. $14.17 D. $12.68