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

The domain of f(x)=(2x-3)/(sqrt(3x+3)) is x>-1

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

domain

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

x > - 1

Interval Notation

(- 1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x > - 1

ln (4 x - 5)

y = \frac{4}{x + 1}

y = - x^{2} - 2 x - 3

f (x) = \frac{x}{x ^{2} + 11 x + 28}

f (x) = \frac{x ^{2} - 2 x - 8}{x + 3}

What is the domain of f(x)=(2x-3)/(sqrt(3x+3)) ?
The domain of f(x)=(2x-3)/(sqrt(3x+3)) is x>-1