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If f(x) = 1/x, x ∈ R, x ≠ 0, find the value of ff(2)

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If f(x) = \(\frac1x\), x ∈ R, x ≠ 0, find the value of ff(2)


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Solution:

f(x) = \(\frac1x\)

Now, ff(x) = f(f(x)) = f(\(\frac1x\)) [ f(x) = \(\frac1x\)]

= \(\frac{1}{\frac1x}\)

= 1 x \(\frac{x}{1}\)

∴ ff(2) = 2 is the required answer

 

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