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List of top Mathematics Questions on composite of functions asked in BITSAT

Let f(x)=dfracax+bcx+d, then f∘ f(x)=x, provided that:
  • BITSAT - 2020
  • BITSAT
  • Mathematics
  • composite of functions
Let \( f \) and \( g \) be functions from \( \mathbb{R} \) to \( \mathbb{R} \) defined as

\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)

\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then
  • BITSAT - 2017
  • BITSAT
  • Mathematics
  • composite of functions
If f(x)=x√(1+x²), then (f f)(x) is
  • BITSAT - 2010
  • BITSAT
  • Mathematics
  • composite of functions
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