What is the domain of f(x)=(sqrt(x+1))/((x+4)(x-6)) ?

The domain of f(x)=(sqrt(x+1))/((x+4)(x-6)) is -1 6

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domain of f(x)=(sqrt(x+1))/((x+4)(x-6))

domain

f (x) = \frac{x + 1}{( x + 4 ) ( x - 6 )}

- 1 \leq x < 6 or x > 6

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 4, x = 6

Combine real regions and undefined points for final function domain

- 1 \leq x < 6 or x > 6

f (x) = \frac{1}{2} cos (x)

f (x) = 2 (x - 4)

f (x) = \frac{1}{7 x}

f (x) = 9 x + 36

2 + sin (4 x)

What is the domain of f(x)=(sqrt(x+1))/((x+4)(x-6)) ?
The domain of f(x)=(sqrt(x+1))/((x+4)(x-6)) is -1<= x<6\lor x>6