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AP EAMCET202124 Aug 2021Evening ShiftMathematicsFunctionsActual

f: R R and g: R R are two functions such that f(x)=x^2 and g(x)= 1 x^2 , then x^4(f g)(x) is equal to

Options

  1. A0
  2. B1
  3. Cx^4
  4. Dx^2

Correct answer

B. 1

Step-by-step solution

Given, f(x)=x^2 and g(x)=1 / x^2 aligned f g(x) & =f(g(x))= ( 1 x^2 )^2= 1 x^4 x^4 f g(x) & =x^4 1 x^4 =1 aligned

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