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If $\mathrm{g}(\mathrm{x})=\frac{1}{\mathrm{f}(\mathrm{x})}$ and $\mathrm{f}(\mathrm{x})=\mathrm{x}, \mathrm{x} \neq 0$, then which one of the
following is correct $\quad[2015-I I]$
Options:
following is correct $\quad[2015-I I]$
Solution:
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Verified Answer
The correct answer is:
$\quad \mathrm{f}(\mathrm{f}(\mathrm{g}(3(\mathrm{~g}(\mathrm{f}(\mathrm{x}))))))=\mathrm{g}(\mathrm{g}(\mathrm{f}(\mathrm{g}(\mathrm{f}(\mathrm{x}))))))$
$f(x)=x$ $\mathrm{g}(\mathrm{x})=1 / \mathrm{x}$
Putting these values in the options, only (b) is correct.
Putting these values in the options, only (b) is correct.
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