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प्रश्न
Let f and g be two real functions defined by \[f\left( x \right) = \sqrt{x + 1}\] and \[g\left( x \right) = \sqrt{9 - x^2}\] . Then, describe function:
(i) f + g
उत्तर
Given:
\[f\left( x \right) = \sqrt{x + 1}\text{ and } g\left( x \right) = \sqrt{9 - x^2}\]
Clearly,
Thus, domain (f) = [1, ∞]
Again,
⇒ \[x \in \left[ - 3, 3 \right]\]
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