Please Help !!!!! This is Precalculus i think.

Question

Use the table for f(x) to find a table for f^-1(x). Identify the domains and the ranges of f and f^-1

^X:0,2,4

^F(x):0,4,16

Answer 1

Remembwr that the domain is the input and the range is the output. A function is the setup of a machine as to what to do with an input to produce an output. If I put in 2 tomatoes I end up with 3 jars of sauce.

Now, the inverse is reversing the process. We've messed with the machine so that when we put in our end result, we get what we started with, so our range from the function becomes the domain and our result (the range) is our original domain. If I put 3 jars of sauce in my inverse, I get 2 tomatoes out.

So, our domain for f is {0,2,4} and the range is {0,4,16}.

The inverse reverses the process, so the domain is {0,4,16} and the range is {0,2,4}

Since we are given a finite list for the domain and range, all real numbers is not an option.

Answer 2

f(0)=0, f(2)=4 f(4)=16

the domain and range switch

inverse function Finv

Finv(0)=0

Finv(4)=2

Finv(16)=4

domain of Finv = {0,4.16}

range of Finv={0,2,4}