If f(x)=sqrt(x-2), for 2 lt x lt 4, then...

If `f(x)=sqrt(x-2)`, for `2 lt x lt 4`, then `f(x)` is

A

(a) f(x) is continuous is (2,4)

B

(b) f(x) is discontinuous is (2,4)

C

(c) f(x) is continuous is (2,4) except at x = 3

D

(d) f(x) is discontinuous is (2,4) except at x = 3

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

The p.d.f. of a continuous random variable X is f(x) = K/(sqrt(x)), 0 lt x lt 4 = 0 , otherwise Then P(X ge1) is equal to

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x) = {{:( x+ 2 , for -2 lt xlt3 ),(5, for x=3 ),( 8- x, for x gt 3 ) :} ,then at x=3 , f'(x) =

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)=