[" Show that the function "f(x)=sqrt(x^(4)+3)" is continuous at each point."],[" (n) : Let "g(x)=x^(4)+3" and "h(y)=sqrt(y)" ."]

The function y=3sqrt(x)-|x-1| is continuous at

Show that f(x, y) =x sqrt(x^(2)+y^(2))-y^(2) is a homogeneous function of x and y.

Let f(x+y) = f(x) + f(y) for all x and y. If the function f (x) is continuous at x = 0 , then show that f (x) is continuous at all x.

Let f(x)=sqrt(x^(4)+15), then the gragh of the function y=f(x) is symmetrical about

Let f(x+y)=f(x)+f(y) for all x and y If the function f(x) is continuous at x=0 show that f(x) is continuous for all x

Let f: R-{-4/3}->R be a function as f(x)=(4x)/(3x+4) . The inverse of f is map, g:" Range "f->R-{-4/3} given by.(a) g(y)=(3y)/(3-4y) (b) g(y)=(4y)/(4-3y) (c) g(y)=(4y)/(3-4y) (d) g(y)=(3y)/(4-3y)

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f - g .

Let f and g be two functions defined by f(x) = sqrt(x-1) and g(x)= sqrt (4-x^2) . Find : f + g .