For x R- 0,1 , let f_ 1 (x)= 1 x , f_ 2 (x)=1-x and f_ 3 ( x )= 1 1- x be three given…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
For \(x \in R-\{0,1\}\), let \(f_{1}(x)=\frac{1}{x}, f_{2}(x)=1-x\) and \(f_{\mathbf{3}}(\mathbf{x})=\frac{1}{1-\mathbf{x}}\) be three given functions. If a function, J(x) satisfies \(\left.\left(f_{2} \circ\right] \circ f_{1}\right)(x)=f_{3}(x)\) then J(x) is equal to:
- \(\frac{1}{x} f_{3}(x)\)
- \(f_{2}(x)\)
- \(f_{3}(x)\)
- \(f_{1}(x)\)
Answer
(C) f_ 3 (x)
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