How do you find the inverse of #f(x)=x/5+4 #?

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How do you find the inverse of #f(x)=x/5+4 #?

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Answer 1 · 2015-11-14T16:59:26

Say that #f(x) = y#, then isolate #x#.

#y = x/5 + 4#
#y - 4 = x/5#
#5y - 20 = x#

Call #x# #f^(-1)(x)#, or #f(y)# or just #x#, whichever you prefer, I myself prefer #f(y)#. If you've chosen #f(-1)(x)# then you need to change #y# to #x#.

#f(y) = 5y - 20#
#f^(-1)(x) = 5x - 20#
#x = 5y - 20#

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How do you find the inverse of #f(x)=x/5+4 #?

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