What is the domain of ((x^2+2x))/(6-x^2) ?

The domain of ((x^2+2x))/(6-x^2) is x sqrt(6)

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domain of ((x^2+2x))/(6-x^2)

domain

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

x < - 6 or - 6 < x < 6 or x > 6

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

f (t) = (e^{t} \cdot 0.6)^{100}

f (x) = 10 x + 500, x = 150

\frac{1}{∣ x - 2 ∣ ^{2} - ∣ 6 - 3 x ∣ + \frac{5}{4}}

f (x) = ∣ x + 5 ∣ - (x + 5) 2 - 1

\frac{3 x + 1}{x ^{3} + 8}

What is the domain of ((x^2+2x))/(6-x^2) ?
The domain of ((x^2+2x))/(6-x^2) is x<-sqrt(6)\lor-sqrt(6)<x<sqrt(6)\lor x>sqrt(6)