Question

What are the domain and range of the function f(x)=- \/x+3 - 2?domain: -3

Answer 1

Given the function:

$f(x)=-\sqrt[]{x+3}-2$

So, the square root must be greater than or equal zero

The domain of the function is all the values that are possible for x

so,

$\begin{gathered} x+3\ge0 \\ x\ge-3 \end{gathered}$

So, the domain = x ≥ -3

The range is all the possible value of y when we substitute with x

So, the range will be:

$y\le-2$

So, the answer is option 3