SOLUTION: verify that the function g(x)=x-2/5 is the inverse function of f(x)=5x+2. show your work.. Thank you for the help.

Algebra ->  Functions -> SOLUTION: verify that the function g(x)=x-2/5 is the inverse function of f(x)=5x+2. show your work.. Thank you for the help.      Log On


   



Question 173841: verify that the function g(x)=x-2/5 is the inverse function of f(x)=5x+2.
show your work..
Thank you for the help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
verify that the function g(x)=(x-2)/5 is the inverse function of f(x)=5x+2.
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f([g(x)] = f[(x-2)/5] = 5[(x-2)/5] + 2 = (x-2) + 2 = x
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g[f(x)] = g[5x+2] = (5x+2-2)/5 = 5x/5 = x
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Therefore g and f are inverse to one another.
Cheers,
Stan H.