`f : R to R : f (x) =x^(2) ` is

Let f : R to R : f (x) =x^(2) " and " g: R to R : g (x) = (x+1) Show that (g o f) ne (f o g)

Let f : R to R : f (x) = x^(2) + 2 "and " g : R to R : g (x) = (x)/(x-1) , x ne 1 . Find f o g and g o f and hence find (f o g) (2) and ( g o f) (-3)

find the domain and range of the function f : R to R : f (x) =x^(2) +1

Let f : R to R :f (x) = x ^(2) g : R to R : g (x) = x + 5, then gof is:

show that the function f : R to R : f (x) = 1 +x^(2) is many -one into .

Let f : R to R : f (x) = (x^(2) +3x +1) " and " g : R to R : g (x) = (2x-3). Write down the formulae for (i) g o f (ii) f o g (iii) g o g

If f : R to R , f(x)=x^(2) and g(x)=2x+1 , then

If f : R to R , f(x)=x^(2) and g(x)=2x+1 , then

R is the set of real number . Define the function f :R to R by f (x ) =x^2 + 3 find f(-1) and f(2)

R is the set of real number . Define the function f: R to R by f (x ) =x^2 + 3 Draw the graph of f(x)