What is the inverse of #y = 3x + 9#?

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Answer 1 · 2016-02-07T17:44:56

#y=(x-9)/3#

To find the inverse of a function, all we need to do is solve for the independent variable and then switch these variables.

#y = 3x + 9#

#y - 9 = 3x#

#(y-9)/3 = x#

#x = (y-9)/3#

Switch #x# for #y# and vice versa:

#y = (x-9)/3#

Here's a graph of both functions together: