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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
If f(x)=1(1−x),g(x)=f{f(x)}f(x)=\frac{1}{(1-x)}, g(x)=f\{f(x)\} and h(x)=f[f{f(x)}]h(x)=f[f\{f(x)\}]. Then the value of f(x)⋅g(x)⋅h(x)f(x) \cdot g(x) \cdot h(x) is
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Correct option: B
-1
Option B (-1) is correct because by finding g(x) and h(x) in terms of f(x), the product f(x) * g(x) * h(x) simplifies to -1.

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