Let `f(a)=(a-1)/(a+1)`
Consider the following :
1. `f(2a)=f(a)+1`
2. `f((1)/(a))=-f(a)`
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?

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?

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: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 ?

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(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} Consider the following statements : 1. f'(2+0) does not exist. 2. f'(2-0) does not exist. Which of the above statements is/are correct?

Consider the following statements in respect of f(x)=|x|-1 : 1. f(x) is continuous at x=1. 2. f(x) is differentiable at x=0. Which of the above statement is/are correct?

Consider the following statements: 1 f(theta) =2 has no solution 2 f(theta) =7/2 has a solution which of the above statement is/are correct ?

Consider the function f:R -{1} given by f (x)= (2x)/(x-1) Then f'(1) =