Question

How do you find the domain and range of `F(x)=ln(x^2)`?

Answer 1

Domain `{x| x> 0, x in RR}`
Range: `{y| y in RR}`

Explanation:

We use the laws of logarithms to simplify:

`f(x) = 2ln(x)`

This is just a normal logarithmic function, with domain `{x| x > 0, x in RR}`.

The range will be `{y|y in RR}`, which is universal for logarithmic functions.

Hopefully this helps!