Consider the following for the following: `Let f(x)={-2, -3<=x<=0; x-2, 0

Consider the following for the next two items that follow: Let f(x)=[x] , where [.] is the greatest integer function and g(x)=sinx be two real valued function over R. Which of the following statements is correct?

Consider the following for the next two items that follow: Let f(x)=[x] , where [.] is the greatest integer function and g(x)=sinx be two real valued function over R. Which one of the following statements is correct?

Consider the following for the next two items that follow : Let f(x)=[|x|-|x-1|]^(2) What is f'(x) equal to when xgt1 ?

Consider the following for the next two items that follow : Let f(x)=[|x|-|x-1|]^(2) What is f'(x) equal to when 0ltxlt1 ?

Consider the following function f:RtoR such that f(x)=x" if "xge0andf(x)=-x^(2)" if "xlt0 . Then, which one of the following is correct?

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

Let A=R-{3}a n dB=R-{1}dot Consider the function f: Avec defined by f(x)=(x-2)/(x-3)dot Show that is one-one and onto and hence find f^(-1)

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?