NDA2024MathematicsFunctionsActual
Paragraph: Let f g(x)= ^2 x and g f(x)=| x| . Question: Which one of the following is f(x) ?
Options
- Ax
- Bx^2
- C^2 x
- 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.