Question

9. What is the domain and range for the following function and its inverse? F(x)=x^2+3

Answer 1

F(x)=x^2+3 has a domain of X> or equal to 3, and a range of all real numbers
I'm not too sure about the inverse but I think the equation is 
sqrt(x-3)=y

Answer 2

The domain is the kind of numbers that can be put into the function.

The range is the kind of numbers that result from solving the function.

f(x) = x²  + 3.

Any real number, positive or negative can be substituted into the function.

But when the function is carried, out because of the x² , the result would come out as positive number greater than zero.

Therefore the domain of f(x) is any Real number, R

The range, is a set of Real numbers greater than zero.   R > 0

Hope this helps.