Question

The domain of a function is the domain of its inverse.
a. true
b. false

Answer 1

Well based on this you'll have an answer:

Example

F(x) = x^2. Domain and range all real numbers.

Let's take the inverse of this function.

We end up getting this;

F^-1(x) = x^1/2

The range and domain for the function are not the same as the inverse function.

If you realize for the inverse x can only be a positive number, and so too can y.

You can't take the square root of a negative number. So the domain for this function can only be x values that are greater or equal to zero.

Answer 2

so it is false

Answer 3

Yep

Answer 4

You can actually take any function and test it by figuring out the domain, x values in which the function is defined and doing the same for the inverse function.

Answer 5

The topic is covered well here:
http://www.pindling.org/Math/CA/By_Examples/3_7_Inverse_Functions/3_7_Inverse_Functions.html