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Question: Answered & Verified by Expert
Let $f(x)=1-x, g(x)=\frac{1}{1-x}, h(x)=\frac{1}{x}$ be three functions, for $x \neq 0$, 1. If a function $F(x)$ satisfies $f(F(h(x)))=g(x)$, then
MathematicsFunctionsTS EAMCETTS EAMCET 2022 (19 Jul Shift 1)
Options:
  • A $F(2022)=f(2022)$
  • B $F(2022)=g(2022)$
  • C $F(2022)=h(2022)$
  • D $F(2022)=\frac{1}{2022} f(2022)$
Solution:
2753 Upvotes Verified Answer
The correct answer is: $F(2022)=g(2022)$
No solution. Refer to answer key.

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