What is fog ?

If f, g : R rarr R such that : f (x) = x^2 , g (x) = x + 1, then find fog and gof.

If f, g : R rarr R such that : f (x) = sqrt x , g (x) = x^2 -1 then find fog and gof.

If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then find fog .

If f (x) = [x] and g (x) = I x I , then evaluate : (fog) (frac{1}{2})- (gof)(frac{-1}{2})

Let A be a non-empty set and f : A rarr A, g : A rarr A be two functions such that fog = I_A = gof , show that f and g are ijections and that g = f^-1

If f(x) = 2x + 3 and g (X) = x^2 + 1, describe the functions fog Also show that fof ne ff

If f, g : R rarr R a re defined respectively by, f(x) = 8x^3 , g (x) = x^1//3 , then find fog and gof.

Let f : R rarr R be defined by f(x) = 3x - 2 ad g : R rarr R be defined by g(x) = (x+2)/(3) . Shwo that fog = I_R = gof

Let f : R rarr R be defined as f(x) = 7x - 3. Find the function g : R rarr R such that fog = gof = 1_R ,

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.