Domain : \ \

The domain is all values that x can be take on( all x values except which make the function undefined )

Given function :f(x)=1/sqrt(x-36)

The function f(x) is undefined when denominator = 0.

So √(x-36)=0

x-36=0

x=36

Actually x = 36 is domain for x-36.

additionally we have square root(√).So all value below 36 are gives negative result for x-36.

So the domain is x>36 \ \

Range :

The range is every value that f(x) can take on.

numerator and denominator are ever positive.So no negative values includes in range.

Even we substitute x=36.0000001  to 36.1,we can not get y=0.So y=0 is not possible.

range takes all positive values of f(x) except f(x)=0.

So the range is y>0. \ \