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)) .

If f : R rarr R is defined by f(x)=x^2+2 and g : R-{1} rarr R is defined by g(x)=x/(x-1) , find (fog)(x) and (gof)(x) .

If f(x)=x^(x) , then find f'(x) .

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

Let f:R rarr R is defined by f(x)=3x-2 and g:R rarr R is defined by g(x)=(x+2)/3 . Show that f.g=g.f .

If f(x)=x|x| , then find f'(0).

If f(x) = x^2-5|x|+2 , find f(0),f(1),f(-1)

Let g:RrarrR and f:RrarrR is defined as f(x)=2x and g(x)=x^2 . Find f0g and g0f .

A function f:R to R is defined by f(x)=4x^(3)+5x in R . Examine if f is one - one and onto.