What is the domain of f(x)=(4sqrt(x+1))/(x^2-4) ?

The domain of f(x)=(4sqrt(x+1))/(x^2-4) is -1 2

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domain of f(x)=(4sqrt(x+1))/(x^2-4)

domain

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

- 1 \leq x < 2 or x > 2

Interval Notation

[- 1, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 1 \leq x < 2 or x > 2

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

f (x) = ∣ x - 2 ∣ - 2

f (x) = ∣ x - 2 ∣ - 3

f (x) = x^{2} - 3 x - 18

f (x) = \frac{x ^{2} - 36}{x + 1}

What is the domain of f(x)=(4sqrt(x+1))/(x^2-4) ?
The domain of f(x)=(4sqrt(x+1))/(x^2-4) is -1<= x<2\lor x>2