" 9."(sqrt(x)+(1)/(sqrt(x)))^(2)

The value of f(x,y)=((4sqrt(x^(3)y)-4sqrt(x^(3)))/(sqrt(y)-sqrt(x))+(1+sqrt(xy))/(4sqrt(xy)))^(-2)(1+2sqrt((y)/(x))+(y)/(x))^((1)/(2)) when x=9,y=0.04

Find the domain of the following functions: f(x)=sqrt(2-x)-(1)/(sqrt(9-x^(2)))

lim_(xrarr0) (sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)?

{:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1):}

lim_(x rarr0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)

If 2x = sqrt(a) - (1)/(sqrt(a)) , then the value of (sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is

lim_(xto0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3) is

sqrt(9-x^2)/x

Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b) (x+sqrt(x^2-1))/(x-sqrt(x^(2)-1)) -(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))