What is the domain of f(x)=(8x)/(1-sqrt(x-3)) ?

The domain of f(x)=(8x)/(1-sqrt(x-3)) is 3 4

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domain of f(x)=(8x)/(1-sqrt(x-3))

domain

f (x) = \frac{8 x}{1 - x - 3}

3 \leq x < 4 or x > 4

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

3 \leq x < 4 or x > 4

- 1 + x + 1

\frac{6}{8 - x - 2}

f (x) = 40000 - 2 x^{2}

f (x) = \frac{x ^{2} - x - 6}{x ^{2} - 1} + x^{2} - 9

20 x^{3} + 30 x^{2} - 50 x + 20

What is the domain of f(x)=(8x)/(1-sqrt(x-3)) ?
The domain of f(x)=(8x)/(1-sqrt(x-3)) is 3<= x<4\lor x>4