Find the domain of the composite function f?g.f(x) = 6x + 18, g(x) = 

A. [0, ?)
B. (-?, -3] ? [0, ?)
C. (-?, ?)
D. [-3, ?)


Answer: A

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: 100 at    and    minimum: -100 at    and  
B. Maximum: 100 at    minimum: -100 at  
C. Maximum: 100 at    minimum: 0 at  
D. Maximum: 100 at    and    minimum: -100 at    and  

Mathematics

Find the first five partial sums of the given series and determine whether the series is convergent or divergent. If it is convergent, then find its sum.1 + 3 + 5 + 7 + 9 + ...

A. 1, 4, 8, 12, 16; divergent B. 1, 3, 5, 7, 9; divergent C. 1, 4, 9, 16, 25; divergent D. 4, 9, 16, 25, 36; divergent

Mathematics

Completely factor the polynomial or state that the polynomial is prime.729x3 + 512

A. (9x + 8)(81x2 + 72x + 64) B. (9x + 8)(81x2 - 72x + 64) C. (9x - 8)(81x2 + 72x + 64) D. (729x - 8)(x2 + 72x + 64)

Mathematics

Solve. 27 - n2  = 6n

A. 3, 9 B. 9, -3 C. -9, -3 D. 3, -9

Mathematics