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How do you figure this out?

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Mar 14, 2018

#f^-1(x)=ln(x+4)/2#

Explanation:

#f(x)=e^(2x)-4#
#y=e^(2x)-4#
#x=e^(2y)-4#
#x+4=e^(2y)#
#ln(x+4)=ln[e^(2y)]#
#2y=ln(x+4)#
#y=ln(x+4)/2#
#f^-1(x)=ln(x+4)/2#

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