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what is the inverse of this function g(x)=3 over x-1?

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Cheahjimmyviz
g(x) = 3/x-1
first step,    let g(x) = y
thus        y= 3/x-1
2nd step interchange      x for y  & y for x
     x= 3/y-1
3rd step      solve for y in term of x
x(y-1)= 3
y =    3/x +1
therefore the inverse function is
       f⁻¹(x) =    3/x +1
   

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