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The brain that writes math problems
The first question is wrong and unequal, because the domain is different.

The second question is also wrong, I don't know the domain.

The third question is correct. X > 1 has this condition because the function images on both sides of x= 1 in the diagram are different.

The third question is shown below.

The fourth question has a different definition, so it is not correct.

I hope I can help you.