For the given functions f and g, find the requested function and state its domain.f(x) = 
; g(x) = 3x - 2Find 
.
A. (
)(x) = 
; {x|x ? 0}
B. (
)(x) = 
; {x|x ? 
}
C. (
)(x) = 
; {x|x ? 0, x ? 
}
D. (
)(x) = 
; {x|x ? 0}
Answer: C
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The graph of either a cubic or quartic polynomial f(x) with leading coefficient ±1 and integer zeros is shown. Write the complete factored form of f(x).
A. f(x) = (x - 4)(x + 1)(x + 3) B. f(x) = -(x + 4)(x - 1)(x - 3) C. f(x) = (x + 4)(x - 1)(x - 3) D. f(x) = 2(x - 4)(x + 1)(x + 3)
Determine the amplitude or period as requested.Period of y = 
cos 
x
A. 
B. 
C. 
D. 
Solve the problem.Prove that for n a positive integer, we have 
+ 
+ ... + 
= 2n
What will be an ideal response?
Solve the problem.The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 17-kg object stretches a spring 65 cm, find the distance when the weight is 18-kg.
A. 3.82 cm B. 100 cm C. 68.82 cm D. 4.71 cm