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

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

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) g : R to R : g (x) = x + 5, then gof is:

Let f : R to R : f (x) = (2x -3) " and " g : R to R : g (x) =(1)/(2) (x+3) show that (f o g) = I_(R) = (g o f)

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)

Let f:R→R:f(x)=(x+1) and g:R→R:g(x)=(x^2−2) . Write down the formulae for (gof) .

Let f:R→R:f(x)=(x+1) and g:R→R:g(x)=(x^2 −4) . Write down the formulae for (fog) .

Let f : R to R : f (x) =10x +7. Find the function g : R to R : g o f = f o g =I_(g)

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof