Find the codomain without using graphf(x) = \sqrt{x {}^(2) - 9 }

Question

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

Answer 1

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)`