If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) ((sqrt(pi))/(2)) and (gof)((pi)/(3)) .

Find gof and fog, if f: T to R and g : R to R are given by f (x) = cos x and g (x) = 3x ^(2). Show that gof ne fog.

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find (f)/(g) .

If f:R -> R, g:R -> R defined as f(x) = sin x and g(x) = x^2 , then find the value of (gof)(x) and (fog)(x) and also prove that gof != fog .

Find gof and fog, if f:R rarr R and g: R rarrR are given by f(x) = cos x and g(x) = 3x^2 . Show that gof ne fog.

Let R be the set of real numbers. If f: R to R ;f(x)=x^2 and g: R to R ;g(x)=2x+1 . Then, find fog and gof . Also, show that fog!=gofdot

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f+g

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f-g