How do you find the inverse of #f(x) = 5x+2?#

1 Answer
Y
Nov 2, 2017

Answer: #f^(-1)(x)=(x-2)/5#

Explanation:

Find the inverse of #f(x)=5x+2#

Note that the inverse of a function can be found by flipping the #x# and #y# variables and solving for #y#. In this case, we can treat the #f(x)# as a #y#, therefore:
#y=5x+2#

Flipping the #x# and #y# variables, we have:
#x=5y+2#

Solving for #y#:
#x=5y+2#
#x-2=5y#
#y=(x-2)/5# or #f^(-1)(x)=(x-2)/5# for inverse notation

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