Let `A={1,2,3,4}, B={2,4,6,8}`. If `f : A rarr B ` is defined by `f(x)=2x`, show that `(f^-1)^-1=f`

If f : R rarr R be defined by f(x)=|x| , show that fof=f

If f :IR rarrIR is defined by f(x)=x^2-3x+2 , find f(f(x))?

If f:RtoR is defined by f(x)=x^(2)-3x+2 , find f(f(x)) .

Let f : R rarr R be defined as f(x)=2x+3 . Show that f is invertible and find f^-1 : R rarr R .

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

Let A={a,b,c} and B={1,2,3} . Let f : A rarr B be a function where f= {(a,1),(b,2),(c,3)} Find f^-1 , if exists in each case.

If f(x)=(2x+1)/(3x-2)=y ,show that x=f(y).

Let A={a,b,c} and B={1,2,3} . Let f : A rarr B be a function where f= {(a,2),(b,1),(c,1)} Find f^-1 , if exists in each case.

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

If f : R rarr R be defined by f(x)=2x-3 and g : R rarr R be defined by g(x)= (x+3)/2 , show that fog=gof=I_R