Question

Find the codomain of F without using graphf(x) = (x+3) / (x-1)

Answer 1

We are given the following function:

`f(x)=(x+3)/(x-1)`

We are asked to determine the codomain of the function. We need to have into account that the range and the codomain are two different but similar concepts.

The range is the values that he functions outputs and the codomain is the set of the possible values of the function.

In this case, we have a function that takes real values and outputs real values, therefore, the codomain is the set of the real numbers, this is written as:

`\text{Codomain=}\mleft\lbrace\R\mright\rbrace`