What is the domain of f(x)=(sqrt(x+6))/(x-4) ?

The domain of f(x)=(sqrt(x+6))/(x-4) is -6 4

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domain of f(x)=(sqrt(x+6))/(x-4)

domain

f (x) = \frac{x + 6}{x - 4}

- 6 \leq x < 4 or x > 4

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

- 6 \leq x < 4 or x > 4

\frac{1}{x - 1}

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

f (x) = (x^{2} - 1)^{3}

1

x^{5} - 5 x

What is the domain of f(x)=(sqrt(x+6))/(x-4) ?
The domain of f(x)=(sqrt(x+6))/(x-4) is -6<= x<4\lor x>4