How do you find the inverse of #g(x)= 2x-4#?

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Answer 1 · 2015-12-02T20:38:23

Let #y = g(x)# and solve for #x# to find:

#g^(-1)(y) = (y+4)/2#

Let #y = g(x) = 2x - 4#

Add #4# to both ends to get:

#y+4 = 2x#

Divide both sides by #2# to get:

#(y+4)/2 = x#

So for any #y# we can find a value of #x# such that #g(x) = y#.

That is:

#g^(-1)(y) = (y+4)/2#