Answer :
Solution
- The question tells us to determine the codomain of the following rational function:
[tex]f(x)=\frac{x+3}{x-1}[/tex]- The codomain of the function is the possible values that f(x) can take.
; From the function, we can see that:
[tex]\begin{gathered} f(x)=\frac{x+3}{x-1} \\ \text{when }x=1 \\ f(1)=\frac{1+3}{1-1}=\frac{4}{0} \\ \\ \text{Thus, f(1) leads to an undefined value. As such,} \\ x\ne1 \end{gathered}[/tex]- Thus, we can conclude that the codomain is:
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