What is the domain of f(x)=sqrt(30-(x^2-x)) ?

The domain of f(x)=sqrt(30-(x^2-x)) is -5<= x<= 6

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domain of f(x)=sqrt(30-(x^2-x))

domain

f (x) = 30 - (x^{2} - x)

- 5 \leq x \leq 6

Interval Notation

[- 5, 6]

Solution steps

Find non-negative values for radicals:

- 5 \leq x \leq 6

The function domain

- 5 \leq x \leq 6

f (x) = x^{2} + 3 x + 3

\frac{3 x + 5}{5 x ^{2} + 55 x + 120}

f (x) = \frac{x ^{2} - 8 x - 20}{15 x - 27}

5 x - 2

(1, 4), (2, 4)

What is the domain of f(x)=sqrt(30-(x^2-x)) ?
The domain of f(x)=sqrt(30-(x^2-x)) is -5<= x<= 6