Maths-
General
Easy

Question

If A = open square brackets table row cell negative 2 end cell 1 row 0 3 end table close square brackets and f(x) = 2x2 – 3x, then f(A) equals -

  1. open square brackets table row 14 cell negative 1 end cell row 0 9 end table close square brackets    
  2. open square brackets table row cell negative 14 end cell 1 row 0 9 end table close square brackets    
  3. open square brackets table row 14 1 row 0 cell negative 9 end cell end table close square brackets    
  4. None of these    

The correct answer is: open square brackets table row 14 cell negative 1 end cell row 0 9 end table close square brackets


    f(A) = 2 A squared minus 3 A
equals 2 space open square brackets table row cell negative 2 space space space space 1 end cell row cell 0 space space space space space space 3 end cell end table close square brackets space open square brackets table row cell negative 2 space space space 1 end cell row cell space space 0 space space space space 3 space space end cell end table close square brackets space minus 3 open square brackets table row cell negative 2 space space 1 end cell row cell 0 space space 3 end cell end table close square brackets
equals 2 open square brackets table row cell 4 space space 1 end cell row cell 0 space space 9 end cell end table close square brackets minus space open square brackets table row cell negative 6 space space space 3 end cell row cell 0 space space space 9 end cell end table close square brackets
equals space open square brackets table row cell 8 plus 6 space space space 2 minus 3 end cell row cell 0 minus 0 space space 18 minus 9 end cell end table close square brackets
equals open square brackets table row cell 14 space space minus 1 end cell row cell 0 space space space space 9 end cell end table close square brackets

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