Let `g(x)=sqrt(x-2k),AA2klt=x<2(k+1),` where `k in ` integer. Check whether `g(x)` is periodic or not.

Let f(x)=sqrt(x-2) , g(x)= sqrt(5-x) find f(x)+g(x), f(x)-g(x), f.g., (f/g)

Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -

Let f(x)sqrt((1-x^(2))(1+2x^(2))) defined on [-1,1] then -

Let f and g be real function defined by f(x)= sqrt(x+4),xge-4andg(x)=sqrt(x-4),xge4. Let the function f+g,f-g

Let f(x)=2 sqrt(x) and g(x)=3-1/x, x gt 1 . Statement - I : f(x) gt g(x) (x gt 1) . Statement - II : f(x)-g(x) increases on (1, oo) .

Let g(x) be a function defined on [-1,1]dot If the area of the equilateral triangle with two of its vertices at (0,0) a n d (x ,g(x)) is (a) (sqrt(3))/4 , then the function g(x) is (b) g(x)=+-sqrt(1-x^2) (c) g(x)=sqrt(1-x^2) (d) g(x)=-sqrt(1-x^2) g(x)=sqrt(1+x^2)

If f(x)=sqrt(8x),g(x)=x+2 , then

Suppose that g(x)=1+sqrt(x) " and " f(g(x))=3+2sqrt(x)+x. Then find the function f(x) .

Find the values of x for which the following functions are identical. (i) f(x)=x " and " g(x)=(1)/(1//x) (ii) f(x)=(sqrt(9-x^(2)))/(sqrt(x-2)) " and " g(x)=sqrt((9-x^(2))/(x-2))

Find the value of x for which function are identical. f(x)=(sqrt(9-x^2))/(sqrt(x-2)) and g(x)=sqrt((9-x^2)/(x-2))