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JEE Main2008MathematicsFunctionsActual

Let f: N Y be a function defined as f(x)=4 x+3 , where Y= y N: y=4 x+3 for some x N . Show that f is invertible and its inverse is

Options

  1. Ag(y)= 3 y+4 3
  2. Bg(y)=4+ y+3 4
  3. Cg(y)= y+3 4
  4. Dg(y)= y-3 4

Correct answer

D. g(y)= y-3 4

Step-by-step solution

Function is increasing x= y-3 4 =g(y)

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