Question #b12cd

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Answer 1 · 2018-01-18T03:46:21

#f^-1(x)=ln(y/10)#

#f(x)=10e^x#

#:.y=10e^x#

Now, we need to express #x# in terms of #y# to get the inverse function, which is #f^-1(x)#.

#e^x=y/10#

Now, take the natural logarithm of both sides

#ln(e^x)=ln(y/10)#

#x=ln(y/10)#

#:.f^-1(x)=ln(y/10)#