SOLUTION: Verify that the function f -1 (x)= x-1/2 is the inverse of f(x)= 2x+1 by showing that f (f-1(x))=f-1(f(x))=x.
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Question 673251: Verify that the function f -1 (x)= x-1/2 is the inverse of f(x)= 2x+1 by showing that f (f-1(x))=f-1(f(x))=x.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Verify that the function f -1 (x)= (x-1)/2 is the inverse of f(x)= 2x+1 by showing that f (f-1(x))=f-1(f(x)) = x.
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f^-1[f(x)] = f^-1[2x+1] = (2x+1-1)/2 = 2x/2 = x
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f[f^-1(x)] = f[(x-1)/2] = 2[(x-1)/2]+1 = x-1+1 = x
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cheers,
Stan H.
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