Maths-
General
Easy

Question

If f( x) = fraction numerator x squared space minus space 6 x space plus space 3 over denominator x space minus space 1 end fraction   , what is f(-1) ?

  1. -5
  2. -2
  3. 2
  4. 5

The correct answer is: -5


    HINT – Put x = - 1 in the given function
    SOLUTION – The given function is  f(x) = fraction numerator x squared space minus space 6 x space plus space 3 over denominator x space minus space 1 end fraction
    Put x = - 1
    We get f(- 1) = fraction numerator left parenthesis negative 1 right parenthesis squared minus 6 left parenthesis negative 1 right parenthesis plus 3 over denominator negative 1 minus 1 end fraction
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator 1 plus 6 plus 3 over denominator negative 2 end fraction end cell row cell equals fraction numerator 10 over denominator negative 2 end fraction end cell end table
    = -5
    So, f(- 1 ) = - 5
    Hence option A is correct

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