The inverse of f(x)=2/x-3?

Question

I got F(x)^-1=2+3x/x does this look right?

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Answer 1 · 2018-03-24T20:22:13

#f(x)^-1 = 2/(x + 3)#

Not quite, here are the steps :

#y = 2/x - 3#

#x = 2/y - 3#

#x + 3 = 2/y#

#y(x + 3) = 2#

#y = 2/(x + 3)#

#f(x)^-1 = 2/(x + 3)#