What is the domain of f(x)=(sqrt(x)-2)/(sqrt(x)-4) ?

The domain of f(x)=(sqrt(x)-2)/(sqrt(x)-4) is 0 16

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domain of f(x)=(sqrt(x)-2)/(sqrt(x)-4)

domain

f (x) = \frac{x - 2}{x - 4}

0 \leq x < 16 or x > 16

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 16

Combine real regions and undefined points for final function domain

0 \leq x < 16 or x > 16

\frac{3 2 x - 4}{2 x - 4 - 2}

f (x,) = ln (x)

y = e^{2 x}

f (x) = \frac{x + 8}{2 x + 4}

f (x) = - 5 x - 10 + 6

What is the domain of f(x)=(sqrt(x)-2)/(sqrt(x)-4) ?
The domain of f(x)=(sqrt(x)-2)/(sqrt(x)-4) is 0<= x<16\lor x>16