Kenneth S. answered • 04/27/17

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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

I believe that you're intending to deal with the rational algebraic function f(x) = (x+4) / (x+2)

which has Domain all Reals except -2.

This function has an inverse, and its Range is ALL REALS EXCEPT -2 by virtue of the interchange of variables that is used to derive f

^{-1}.I find f

^{-1}(x) = -2(x+1) / (x-1) and its domain is all Reals except 1.THEREFORE THE RANGE OF f IS ALL REALS EXCEPT 1.

You can verify this by attempting to set f(x) = 1; that equation has no solution.