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Let f(x)=x^2 and g(x)=2x+1 be two func...

Let `f(x)=x^2` and `g(x)=2x+1` be two
functions defined over the set of non-
negative real numbers. Find `(f+g)(x)`, `(f-g)(x)`,`(fg)(x)` and `(f/g)(x)`

Text Solution

Verified by Experts

We have `(f+g)(x)=x^2+2 x+1,(f-g)(x)=x^2-2 x-1`
`(f g)(x)=x^2(2 x+1)=2 x^3+x^2,(f/g)(x)=x^2/2 x+1, x ne 1/2`
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