What is the domain of f(x)=sqrt(3x+27) ?

The domain of f(x)=sqrt(3x+27) is x>=-9

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domain of f(x)=sqrt(3x+27)

domain

f (x) = 3 x + 27

x \geq - 9

Interval Notation

[- 9, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 9

The function domain

x \geq - 9

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} + x - 6}

(x - 6)^{2}

f (x) = - x^{2} + 2 x + 5

\frac{7}{8}

x^{2} + x - 20

What is the domain of f(x)=sqrt(3x+27) ?
The domain of f(x)=sqrt(3x+27) is x>=-9