Let `f(x)=max{x,x^(2)}`. Then, equivalent definition of f(x).

Let f(x)= sqrt(1+x^(2)) then,

let f: RrarrR be a function defined by f(x)=max{x,x^3} . The set of values where f(x) is differentiable is:

Find the equivalent definition of f(x)=m a x{x^2,(1-x)^2,2x(1-x)}w h r e0lt=xlt=1

Let f:R rarr R be a continuous function such that f(x)-2f(x/2)+f(x/4)=x^(2) . The equation f(x)-x-f(0)=0 have exactly

The domain of the function f(x)=max{sin x, cos x} is (-infty, infty) . The range of f(x) is

Let f(x+y)=f(x)+f(y) for all xa n dydot If the function f(x) is continuous at x=0, show that f(x) is continuous for all xdot

Let f: X rarrY be a function. Define a relation R in X given by R = {(a, b): f(a) = f(b)} . Examine whether R is an equivalence relation or not.

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

Let f(x)=(alphax)/(x+1),x ne -1 . Then, for what values of alpha is f[f(x)]=x?

If f(x) is defined in [-3,2], find the domain of definition of f([(abs(x)]) " and " f([2x+3]).