Question #af0ab

1 Answer
May 16, 2017

#y=10^-x-4#

Explanation:

To find the inverse, switch #y# and #x#. The inverse will look like:

#x=-log(y+4)#

However, we need to solve for #y#. Move the negative to the other side:

#-x=log(y+4)#

Assuming that the log is base #10#, raise both sides to the power of #10#. If the log is a different base, you will raise both sides to the power of that base:

#10^-x=y+4#

Subtract #4# on both sides:

#y=10^-x-4#