SOLUTION: Given f(x) = sin x, g(x) = 1/x, and h(x) = |x| A) state the single equation that represents y = h(g(f(x))) B) describe what each composition does in the order that it is applie

Question 312054: Given f(x) = sin x, g(x) = 1/x, and h(x) = |x|
A) state the single equation that represents y = h(g(f(x)))
B) describe what each composition does in the order that it is applied.
C) sketch a curve on the interval -2pi<=x=<2pi with all the major features.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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b) h(x)- Take the absolute value of x.
g(h(x))-Take the absolute value of the reciprocal of x.
f(g(h(x))- Take the sine of the absolute value of the reciprocal of x.
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c) The function is undefined at x=0 since division by zero is undefined. But there is a lot of action as x approaches zero from both sides.

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