Let f, g : R → R be two functions defined as f (x) = |x| + x and g (x) = |x| – x  for  $x \in R$ The value of (g o f) is
  • x
  • -x
  • 0
  • x+1
The value of (f o g) is
  • x
  • -x
  • 0 for x > 0 and -4x for x < 0
  • 0 for x < 0 and -4x for x > 0
Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}. Then R is
  • symmetric and transitive
  • reflexive but not symmetric
  • reflexive but not transitive
  • neither symmetric, nor transitive
Let f: A → B and g : B → C be the bijective functions. Then (g o f)
  • f
  • f o g
  • (i) and (ii)
  • None of the above
Let f: R – {\(\frac{3}{5}\)} → R be defined by f(x) = \(\frac{3x+2}{5x-3}\) then
  • f
  • t
  • (i) and (ii)
  • None of the above
0 h : 0 m : 1 s

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