SOLUTION: Determine whether each pair of functions are inverse functions. f(x)=-4x+1, g(x)=1/4(1-x)

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Question 391624: Determine whether each pair of functions are inverse functions. f(x)=-4x+1, g(x)=1/4(1-x)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+-4x+%2B+1, and g%28x%29+=+%281%2F4%29%2A%281-x%29. They are inverses, because
%28fog%29%28x%29+=+-4%2A%28%281%2F4%29%2A%281-x%29%29+%2B+1+=+-1+%2B+x+%2B+1+=+x, and
%28gof%29%28x%29+=+%281%2F4%29%2A%281-%28-4x+%2B+1+%29%29+=+%281%2F4%29%2A%284x+%29+=+x.