Question

Let `f(x)=x^2`and `g(x) = 2x + 1`be two real functions. find `(f +g)(x)`, `(f-g)(x)`, `(fg)(x)`, `(f/g)(x)`.

Answer 1

Here, `f(x) = x^2` and `g(x) = 2x+1`
`(f+g)(x) = f(x)+g(x) = x^2+2x+1`
`(f-g)(x) = f(x)-g(x) = x^2-2x-1`
`(fg)(x) = f(x)g(x) = x^2(2x+1) = 2x^3+x^2`
`(f/g)(x) = f(x)/g(x) = x^2/(2x+1)`