Find the domain and range of the function
f(x)= 1/ 2x+1

We have,fx = 12x+1Clearly fx is not defined when 2x+1 = 0 i.e. when x = -12So, domain of f = R--12Now, y = 12x+1x = 1-y2yClearly x is not defined when y = 0So, range of f = R-0So, domf = R--12 and rangef = R-0

  • -1
domain : x ∈ R-{-1/2}
range : R-{0}
  • 1
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