If `A=[1 2 2 1]` and `f(x)=x^2-2x-3` , show that `f(A)=O` .

Let A= [2 3-1 2] and f(x)=x^2-4x+7 . Show that f(A)=O . Use this result to find A^5 .

Let A=[[2,3],[-1,2]] and f(x)=x^2-4x+7 Show that f(A)=0 Use this result of find A^5

If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

If f(x)=sqrt(x^(2)-2x+1), then f' (x) ?

f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2))+f(1)

If (x) is of the form f(x)=a+b x+c x^2, show that int_0^1f(x)dx=1/6{f(0)+4f(1/2)+f(1)}

If y = f(x) = (x+2)/(x-1) , x ne1 , then show that x = f(y) .

Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.

Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(x-1)/(x-2) , show that f is bijective.

If f(x)=(4^(x))/(4^(x)+2) , then show that f(x)+f(1-x)=1