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JEE Main202523 Jan 2025Morning ShiftMathematicsFunctionsActual

Let f(x)= _ e x and g(x)= x^4-2 x^3+3 x^2-2 x+2 2 x^2-2 x+1 . Then the domain of f g is

Options

  1. A[0, )
  2. B[1, )
  3. C(0, )
  4. DR

Correct answer

D. R

Step-by-step solution

f(g(x))= ( x^4-2 x^3+3 x^2-2 x+2 2 x^2-2 x+1 ) Since 2 x^2-2 x+1>0 x R (-2)^2-4(2) 0 x R & g(x)>0 x R & f((x)), f(x)>0 x R & x R is domain aligned

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