Question

What are the steps to get the answer and what does the part to the right saying x≠1 mean as well?

Answer 1

The x≠1 part of the question, means that we are not going to consider the value f(1) for the range of the function.

Now, recall that the range of a function is the set of all possible values f(x) with x in the domain of the function.

The function g(x)=x+3 is well defined for all real numbers, and its range is also all real numbers, but for f(x) we have to omit the value f(1)=1+3=4, therefore the range of f(x) is:

`y\\e4.`

Answer: Second option.