What is the domain of f(x)=sqrt(-x^3-2x^2+25x+50) ?

The domain of f(x)=sqrt(-x^3-2x^2+25x+50) is x<=-5\lor-2<= x<= 5

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domain of f(x)=sqrt(-x^3-2x^2+25x+50)

domain

f (x) = - x^{3} - 2 x^{2} + 25 x + 50

x \leq - 5 or - 2 \leq x \leq 5

Interval Notation

(- \infty, - 5] \cup [- 2, 5]

Solution steps

Find non-negative values for radicals:

x \leq - 5 or - 2 \leq x \leq 5

The function domain

x \leq - 5 or - 2 \leq x \leq 5

f (x) = 10 x - 2

f (x) = \frac{x ^{2} - x - 6}{x ^{2} - 4}

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

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

What is the domain of f(x)=sqrt(-x^3-2x^2+25x+50) ?
The domain of f(x)=sqrt(-x^3-2x^2+25x+50) is x<=-5\lor-2<= x<= 5