What is the domain of ((sqrt(x+10)-4))/(x-6) ?

The domain of ((sqrt(x+10)-4))/(x-6) is -10 6

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domain of ((sqrt(x+10)-4))/(x-6)

domain

\frac{( x + 10 - 4 )}{x - 6}

- 10 \leq x < 6 or x > 6

Interval Notation

[- 10, 6) \cup (6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 10

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

- 10 \leq x < 6 or x > 6

f (x) = lo g_{4} (x) + 5

x + 2 + \frac{1}{x ^{2} - x - \frac{3}{4}}

f (x) = \frac{( x 5 ^{x} )}{5 ^{(x + 2)} - 2}

f (x) = \frac{3}{4 x} + 2

3 tan (x) + 2

What is the domain of ((sqrt(x+10)-4))/(x-6) ?
The domain of ((sqrt(x+10)-4))/(x-6) is -10<= x<6\lor x>6