What is the domain of f(x)=(sqrt(6+x))/(8-x) ?

The domain of f(x)=(sqrt(6+x))/(8-x) is -6 8

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domain of f(x)=(sqrt(6+x))/(8-x)

domain

- 6 \leq x < 8 or x > 8

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

- 6 \leq x < 8 or x > 8

What is the domain of f(x)=(sqrt(6+x))/(8-x) ?
The domain of f(x)=(sqrt(6+x))/(8-x) is -6<= x<8\lor x>8