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10 votes
Find the codomain of f(x) = (x+3) / (x-1)

User Udhay Titus
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1 Answer

18 votes
18 votes

Solution

- The question tells us to determine the codomain of the following rational function:


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

- The codomain of the function is the possible values that f(x) can take.

; From the function, we can see that:


\begin{gathered} f(x)=(x+3)/(x-1) \\ \text{when }x=1 \\ f(1)=(1+3)/(1-1)=(4)/(0) \\ \\ \text{Thus, f(1) leads to an undefined value. As such,} \\ x\\e1 \end{gathered}

- Thus, we can conclude that the codomain is:


undefined

User Michael Kunst
by
2.9k points
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