What is the domain of f(x)=\sqrt[10]{x^2+3x+2} ?

The domain of f(x)=\sqrt[10]{x^2+3x+2} is x =-1

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domain of f(x)=\sqrt[10]{x^2+3x+2}

domain

x \leq - 2 or x \geq - 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq - 1

The function domain

x \leq - 2 or x \geq - 1

f (x) = \frac{2}{3} x + 1

f (x) = 3 x + 11

x^{2} - 2 x

g (x) = 2 x + 9

f (x) = (x - 2)^{2} - 1, x \geq 0

What is the domain of f(x)=\sqrt[10]{x^2+3x+2} ?
The domain of f(x)=\sqrt[10]{x^2+3x+2} is x<=-2\lor x>=-1