SOLUTION: If f and g are linear functions such that g(f(x)) = 2x+ 6 and the graph of y = f(g(x)) passes through the origin what is the value of f(g(2011))?

Question 544057: If f and g are linear functions such that g(f(x)) = 2x+ 6 and the graph of y = f(g(x)) passes through the origin what is the value of f(g(2011))?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If f and g are linear functions such that g(f(x)) = 2x+ 6 and the graph of y = f(g(x)) passes through the origin what is the value of f(g(2011))?
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If g(f(x)) = 2x+6 then f(g(x)) is its inverse
So f(g(x)) = (x-6)/2 = (x/2)-3
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f(g(2011)) = (2011/2)-3 = 1005.5-3 = 1002.5
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Cheers,
Stan H.
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