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  4. The domain of definition of the function y=3 e√x2-1 log (x-1) is

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Q. The domain of definition of the function $y=3 e^{\sqrt{x^{2}-1}} \log (x-1)$ is

Relations and Functions

Solution:

For $D_f, x^2 - 1 \geq 0 $ and $\,x \,\forall - 1 > 0$
$\Rightarrow |x| \geq 1 $ and $x >1 \Rightarrow x\,> 1 \Rightarrow D_f =(1,\infty)$