How do you find the inverse of #f(x)=6x#?

1 Answer
Alan P.
Mar 13, 2017

#g(x)=x/6# is the inverse of #f(x)=6x#

Explanation:

#g(x)# is the inverse of #f(x)# if #f(g(x))=x# for all #x#

If #f(color(blue)x)=6color(blue)x#
then
#color(white)("XXX")f(color(blue)(g(color(red)x)))=6 * color(blue)(g(color(red)x))#
and if
#color(white)("XXX")6 * color(blue)g(color(red)x)=x#
then
#color(white)("XXX")color(blue)(g(color(red)x))=x/6#

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