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Previous Year Question (PYQs)

The domain of the real-valued function $f(x) = \sqrt{x - 3} + \sqrt{x - 4}$ is the set of all values of $x$ satisfying




Solution

For $f(x)$ to be real, both radicals must be defined: $x - 3 \ge 0 \quad \text{and} \quad x - 4 \ge 0$ $\Rightarrow x \ge 4$ So the domain is $[4, \infty)$.

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