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3 votes
Find the codomain without using graph
f(x) = \sqrt{x {}^(2) - 9 }

User Stokedout
by
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1 Answer

2 votes

Given:


f(x)=\sqrt[]{x^2-9}

To find the codomain:

We know that,

The Co-domain of the function is the set of all possible values which can come out as a result.

Since,


\sqrt[]{x^2-9}\ge0

Thus, f(x) takes all real values greater than or equal to zero.

So, the codomain of the function is,


\lbrack0,\infty)

User Matthias Alleweldt
by
7.7k points

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