If `f(x)=1/(sqrt(x+2sqrt(2x-4)))+1/(sqrt(x-2sqrt(2x-4)))` for `x lt 2` then `f(11)=`

If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x<2 then f(11)=

f(x)=sqrt(x-4-2sqrt(x-5))

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

If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f'(102^(+)) , is

If f(x) is continuous at x=2a , where f(x)=(sqrt(x)-sqrt(2a)+sqrt(x-2a))/(sqrt(x^(2)-4a^(2))) , for x!=2a , then f(2a)=

If f(x)=sqrt(x+2sqrt(x))," then "f'(1)=

If f(x) = sqrt(x+2sqrt(x+1)) + sqrt(x-2sqrt(x-1)), x ge 1 . Statement-1 : Then, f(x) = 2 , when x in [1, 2] and Statement-2 : sqrt((f(x))^(2)) = {{:(f(x)",", f(x) ge 0),(-f(x)",", f(x) lt 0):}

33. If f(x)=sqrt(x+2sqrt(2x - 4)) +sqrt(x-2sqrt(2x - 4)) then f(x) isdifferentiable on1) (-oo,oo) 2) [2,oo) - {4} 3) [2,oo) 4) (0,oo)

If f(x) is continuous at x=a, where f(x) = (sqrt(x)-sqrt(a) + sqrt(x-a))/sqrt(x^(2) -a^(2)) , for x ne a , then f(a)=