How do you find the inverse of #f(x)=4x +7#?

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Answer 1 · 2017-07-26T20:49:47

#f^-1(x)=1/4x-7/4#

Rewrite using the variables #x# and #y#:

#y=4x+7#

Switch the variables and solve for #y#.

#x=4y+7#

#x-7=4y#

#y=(x-7)/4#

#y=1/4x-7/4#

So, the inverse of #f(x)# is #f^-1(x)=1/4x-7/4#.