SOLUTION: given f(x) = x-1/x and g(x) = 1/x, what is f(g(1/2))

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Question 1085817: given f(x) = x-1/x and g(x) = 1/x, what is f(g(1/2))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the f(x) function is f%28x%29=%28x-1%29%2Fx

If so, then,

g%28x%29+=+1%2Fx

g%281%2F2%29+=+1%2F%281%2F2%29

g%281%2F2%29+=+%281%2F1%29%2F%281%2F2%29

g%281%2F2%29+=+%281%2F1%29%2A%282%2F1%29

g%281%2F2%29+=+2

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f%28x%29=%28x-1%29%2Fx

f%28g%281%2F2%29%29=%28g%281%2F2%29-1%29%2F%28g%281%2F2%29%29 Replace every x with g(1/2)

f%28g%281%2F2%29%29=%282-1%29%2F%282%29 Plug in g(1/2) = 2

f%28g%281%2F2%29%29=1%2F2

f%28g%281%2F2%29%29=0.5

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The final answer is 1/2 or 0.5