<PRE><B>Question 950938</B>
f(x) = (1-x)/5x, g(x) = 1/(1+5x)
 I am solving for g(f(x)) and f(g(x))
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g[f(x)] = g[(1-x)/5x] = 1/[1 + 5[(1-x)/5x]]
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= 1/[1+(1-x)/x]
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= 1/[x + 1-x]/x
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= 1/(1/x)
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= x
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Note:: f(x) = [1/5x]-[1/5]
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f[g(x)] = f[1/(1+5x)] = [1/[5[1/(1+5x)]-[1/5]
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= [1/[5/(1+5x)] - [1/5)
= [(1+5x)/5] - [1/5]
= [1+5x-1]/5
= 5x/5
= x
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Cheers,
Stan H.
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