What is the domain of f(x)= 8/(4-sqrt(x)) ?

The domain of f(x)= 8/(4-sqrt(x)) is 0 16

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domain of f(x)= 8/(4-sqrt(x))

domain

f (x) = \frac{8}{4 - x}

0 \leq x < 16 or x > 16

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

4 x^{2}

f (x) = lo g_{5} (- x)

y = \frac{2}{x - 3}

3 x + 2 y = 4

f (x) = e^{x}

What is the domain of f(x)= 8/(4-sqrt(x)) ?
The domain of f(x)= 8/(4-sqrt(x)) is 0<= x<16\lor x>16