NCERT Example 17 - Relations and Functions

Question: Over the non-negative real numbers, let f(x)=x and g(x)=sqrt(x). Find (f+g)(x), (f-g)(x), (fg)(x) and (f/g)(x).

Answer: f+g=x+sqrt(x); f-g=x-sqrt(x); fg=x^(3/2); f/g=sqrt(x) for x>0, and is undefined at x=0.

Full step-by-step NCERT solution with diagrams on Something by Zero.

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