What is the continuity f(x)=sqrt(x/((x-2))) ?

The continuity f(x)=sqrt(x/((x-2))) is x 2

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Determine if Continuous f(x) = square root of x/(x-2)

continuity

f (x) = \frac{x}{( x - 2 )}

x \leq 0 or x > 2

Solution steps

Find domain to identify continuous intervals

Domain of

\frac{x}{x - 2} : x \leq 0 or x > 2

Continuous intervals:

x \leq 0 or x > 2

y = 3 (x - 2)^{2} + 1

F (x) = 2 x - 1

g (x) (f (x)) f (x) = 3 - 2 x, g (x) = 3 x^{2} + 2

f (c) = 85 c

f (x) = \frac{( x ^{2} - 9 )}{( x - 3 )}

What is the continuity f(x)=sqrt(x/((x-2))) ?
The continuity f(x)=sqrt(x/((x-2))) is x<= 0\lor x>2