Question

Find the domain and range of the given function

Answer 1

Step-by-step explanation:

We have,

$\rm \: f(x) = \frac{3}{2 - {x}^{2} }$

$\rm \: \implies \: f(x) = \frac{3}{( \sqrt{2} - x)( \sqrt{2} + x) }$

Since, f(x) is defined for all real values except $- \sqrt{2} \:\:\&\:\: \sqrt{2}$

Hence, $\rm\:dom(f)\in\:R-\{- \sqrt{2} , \sqrt{2} \}$

Answer 2

Answer:

Another way to find the domains and range of function Is by using graph . Because the domains refers to the set of possible input value , The domain of graph consists of all the input value shown on the x - axis . The range of the set of possible out put values which are shown on the y - axis

Step-by-step explanation:

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