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Paragraph: Let f g(x)= ^2 x and g f(x)=| x| . Question: Which one of the following is f(x) ?

Options

  1. Ax
  2. Bx^2
  3. C^2 x
  4. D|x|

Correct answer

C. ^2 x

Step-by-step solution

Given f g(x)= ^2 x , go f(x)=| x| If we take option (c) f(x)= ^2 x , then g(x)= x aligned & fog (x)= ^2 x and g of (x)= ^2 x =| x| & f(x)= ^2 x aligned so option (c) is correct.

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