For the given functions f and g, find the requested function and state its domain.f(x) = 5x3 + 2; g(x) = 5x2 + 2Find f ? g.
A. (f ? g)(x) = 5x3 + 5x2 + 4; (-?, ?)
B. (f ? g)(x) = 25x5 + 10x3 + 10x2 + 4; (-?, 0) ? (0, ?)
C. (f ? g)(x) = 25x5 + 10x3 + 10x2 + 4; (-?, ?)
D. (f ? g)(x) = 25x6 + 10x3 + 10x2 + 4; (-?, ?)
Answer: C
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Solve the problem.A resistor and inductor are connected in series to a battery. The current in the circuit (in A) is given by where t is the time since the circuit was closed. By using the series for ex, find the first three terms of the expansion of this function.
A. 0.48t - 0.096t2 + 0.0256t3 + . . . B. 1.2t + 0.096t2 + 0.0128t3 + . . . C. 0.48t - 0.096t2 + 0.0128t3 + . . . D. 0.48t - 0.24t2 + 0.08t3 + . . .
Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.
A.
B.
C.
D. 5
Simplify. Assume that no radicands were formed by raising negative quantities to even powers.
A.
B.
C. -
D.
Simplify the expression. Assume that all variables are positive. ?
A.
B.
C. Not a real number
D.