MCQ
If $\,\,f(x) = \left\{ {\begin{array}{*{20}{c}}
  {3 + x;\,\,\,\,\,x \geqslant 0} \\ 
  {2 - 3x;\,\,\,\,\,x < 0} 
\end{array}} \right.$ then $\mathop {\lim }\limits_{x \to 0} f(f(x))$ is equal to -
  • A
    $9$
  • B
    $6$
  • C
    $-4$
  • does not exist

Answer

Correct option: D.
does not exist
d
$(2^x-1)\,(2^x-7)=7 \Rightarrow x = 3$ only

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