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

The domain of f(x)=sqrt((x-2)*(x^2+3)) is x>= 2

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

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

The function domain

x \geq 2

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

f (x) = 10 x - 2

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

What is the domain of f(x)=sqrt((x-2)*(x^2+3)) ?
The domain of f(x)=sqrt((x-2)*(x^2+3)) is x>= 2