A function f is defined by `f(x)=x+(1)/(x)`. Consider the following.
`(1) (f(x))^(2)=f(x^(2))+2`
`(2)(f(x))^(3)=f(x^(3))+3f(x)`
Which of the above is/are correct?

Let f:[-6,6]toR be defined by f(x)=x^(2)-3 . Consider the following : 1. (f^(@)f^(@)f)(-1)=(f^(@)f^(@)f)(1) Which of the above is /are correct?

Let f:R rarr R be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f''(3) Consider the following : 1. f(2)=f(1)-f(0) 2. f''(2)-2f'(1)=12 Which of the above is/are correct?

If the function f be defined by f(x) =(2x +1)/(1-3x) , then f ^(-1) (x) is-

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .

Let f:RtoR be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3) for x in R Consider the following 1. f(2)=f(1)-f(0) 2.f''(2)-2f'(1)=12 Which of the above is/are correct ?

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is