(Associativity ) Let `f: A to B , g : B to C " and " h: C to `. Then prove that ( h o g) o f = h o ( g o f )`

Let f : N to N : f (x) =2x, g : N to N : g (y) = 3y+ 4 and h : N to N : h (z) = sin z Show that h o ( g o f) = (h o g ) o f .

Let f, g, and h be functions from R to R. Show that (f + g) o h = foh + goh

Let f,g and h be function from R to R. Show that (f+g) o h = foh + goh

Let f, g, and h be functions from R to R. Show that (f cdot g) o h = (foh) cdot (goh)

If f(x)=2x+3, g(x) = 1-2x and h(x)=3x . Prove that f o (g o h) = (f o g) o h

Let f,g and h be function from R to R. Show that (f.g) o h = (foh). (goh)

If f(x)=2x+3 , g(x)=1-2x and h(x)=3x. Prove that f o(g o h) = (f o g ) o h

If f : B to N , g : N to N and h : N to R defined as f(x) = 2x , g(y) = 3y+4 and h(x) = sin x , AA x, y, z in N . Show that h h o ( g of) = (h og) o f