How do you find the inverse of #f(x)=(x-1)/5#?

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Answer 1 · 2017-01-06T06:21:38

The answer is #=5x+1#

Let #y=(x-1)/5#

#5y=x-1#

#x=5y+1#

Therefore,

#f^-1(x)=5x+1#

Verification

#f(f^-1(x))=f(5x+1)=(5x+1-1)/5#

#=x#