Question #5ce0c

1 Answer
May 20, 2017

See explanation.

Explanation:

To find the inverse function you can do the following:

  1. Write the formula of #y=f(x)#.

  2. Transform it to calculate #x# as #f(y)#

The function you get in 2. is the inverse function.

Here we have:

#y=2^x - 3#

#2^x=y+3#

#x=log_2(y+3)#

Now we can change the letters #x# and #y# to get the function in the usual form with #x# as independent variable:

#y=log_2(x+3)#