How do you find the inverse of #f(x) = 3x – 6 # and is it a function?

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Answer 1 · 2018-05-23T07:37:03

#1/3(x+6)#

Given: #f(x)=3x-6#.

Let #y=f(x)#, and so:

#y=3x-6#.

Trade places between #x# and #y#.

#:.x=3y-6#

Solve for #y#.

#x+6=3y#

#y=(x+6)/3#

Now the new #y# is the inverse, and so #y=f^-1(x)#.

#:.f^-1(x)=1/3(x+6)#