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

[3, 4) \cup (4, \infty)

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

f (x) = \frac{1}{x ^{2} - 4 x - 12}

f (x) = π x^{2} 3 - x^{2} \cdot \frac{1}{3}

- 2 (x + 1)^{2} + 4

9 x^{4} + 15 x^{2} + 6

\frac{x ^{2} - 2 x - 8}{x ^{2} - 25}

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