1.

Let `f:RtoR:f(x)=x^(3)+1andg:RtoR:g(x)=(x+1)`. Find (i) `(f+g)(x)` (ii)` (f-g)(x) `(iii) `((1)/(f))(x)` (iv) `((f)/(g))(x)`

Answer» Correct Answer - (i) `x^(3)+x+2`
(ii) `x^(3)-x` (iii) `(1)/(x^(3)+1)` (iv) `x^(2)+x+1`
(iii) dom `((f)/(g))="dom "(f)-{x:f(x)=0}=R-{-1}`.
dom `((f)/(g))="dom "(f)nn" dom "(g)-{x:g(x)=0}`
`=RnnR-{-1}=R-{-1}`.


Discussion

No Comment Found

Related InterviewSolutions