What is the domain of \sqrt[8]{-2t^4+218t^2-1800} ?

The domain of \sqrt[8]{-2t^4+218t^2-1800} is -10<= t<=-3\lor 3<= t<= 10

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domain of \sqrt[8]{-2t^4+218t^2-1800}

domain

- 10 \leq t \leq - 3 or 3 \leq t \leq 10

Interval Notation

[- 10, - 3] \cup [3, 10]

Solution steps

Find non-negative values for radicals:

- 10 \leq t \leq - 3 or 3 \leq t \leq 10

The function domain

- 10 \leq t \leq - 3 or 3 \leq t \leq 10

f (x) = \frac{x - 2}{x ^{2} - 16}

\frac{x ^{2} - 25}{x ^{2} + 81}

f (r) = arcsec (6 r^{2} - 5 r - 5)

f (x) = \frac{x ^{3} - 8}{x - 2}

(x - 1)^{2} (x + 2)

What is the domain of \sqrt[8]{-2t^4+218t^2-1800} ?
The domain of \sqrt[8]{-2t^4+218t^2-1800} is -10<= t<=-3\lor 3<= t<= 10