What is the domain of f(x)=sqrt(12+3x) ?

The domain of f(x)=sqrt(12+3x) is x>=-4

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domain of f(x)=sqrt(12+3x)

domain

f (x) = 12 + 3 x

x \geq - 4

Interval Notation

[- 4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 4

The function domain

x \geq - 4

s im pl i f y (12.3) (- 9.1)

r an g e f (x) = - 3^{x} - 1

a sy m pt o t es f (x) = \frac{2 x}{x ^{2} + 2}

d i s t an ce (- 8, 1), (- 5, 6)

r an g e f (x) = 3 (\frac{1}{2})^{x}

What is the domain of f(x)=sqrt(12+3x) ?
The domain of f(x)=sqrt(12+3x) is x>=-4