youngsunc02 youngsunc02
  • 08-02-2019
  • Mathematics
contestada

Determine whether f(x)=5x+1/x and g(x)=x/5x+1 are inverse function. EXPLAIN how you know?

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minerj
minerj minerj
  • 08-02-2019
Ok to figure out if one is an inverse function, you plug in y for x and substitute f(x) with x and solve for y.

We only have to do this for 1 of the functions so we will take f(x)

x = 5y +1/y

I’m not sure you can solve for y here therefore g(x) is not an inverse function of f(x)
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