SOLUTION: Given f(x) = {{{(x-3)/(x-1)}}} and g(x) = {{{(x-4)/(x-2)}}} Find (fog)(x). Any help would be appreciated! Thank you!

Algebra ->  Functions -> SOLUTION: Given f(x) = {{{(x-3)/(x-1)}}} and g(x) = {{{(x-4)/(x-2)}}} Find (fog)(x). Any help would be appreciated! Thank you!      Log On


   

Question 476657: Given f(x) = %28x-3%29%2F%28x-1%29 and g(x) = %28x-4%29%2F%28x-2%29
Find (fog)(x).
Any help would be appreciated! Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x) = (x-3)/(x-1) and g(x) = (x-4)/(x-2)
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Find (fog)(x) = f[g(x)]
= f[(x-4)/x-2)]
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= [[(x-4)/(x-2)]-4]/[[(x-4/(x-2)] -2]
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= [(x-4-4(x-2))/(x-2)]/[(x-4-2(x-2)/(x-2)]
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= [-3x+4]/[-x]
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= (3x-4)/x
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Cheers,
Stan H.