Question #93df1

1 Answer
Dec 26, 2017
  1. #y=348#
    2.:#y=x#

Explanation:

As you may know, if we take the inverse of a function (#f^(-1)(x)#), we flip the function over the line #y=x# producing two mirror images on either side.

Using this, we know that if we put an inverse function into a function, it will cancel out to just give #x#, this is because when we take the inverse of a function, we find #x# in terms of #y# then switch the letters around. For example, if #y=f(x)=-15x+22# then #f^(-1)(x)=x=-15y+22# so #f^(-1)(x)=(x-22)/(-15)#

The equations cancel as you are cancelling what you did to make #f(x)# become #f^(-1)(x)#.

If #y=f(x)=x#, then #f(348)=348#

The equation in terms of #x# is #y=x#