Let `f(x) = x+1,g(x) = (x^2-1)/(x-1)`. Is f = g?

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

Let f g : R rarr R be defined, respectively by f(x) = x + 1, g(x) = 2x -3 . Find f+g, f-g and f/g .

If f(x) = tan^-1x,g(x) = tan^-1((1+x)/(1-x)) fo |x| < 1, show that f' (x) = g' (x) and g(x) - f(x) = pi/4

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f-g)(x), (fg) (x) and (f/g) (x).

Let f, g: R rarr R be defined respectively by : f (x) =x +1,g (x) =2x-3 . Find f+g, f-g ,fog and f/g .

Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - (gof) (1/2)

Let f: Rrarr R and g: RrarrR be defined by f(x) = x^2 and g(x) = x + 1 . show that gof is not equal to fog .

Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all real numbers r such that f(g(x))=g(f(x)) for infinitely many real number x. The number of elements in set S is