What is the domain of (-3x+1)/(sqrt(4x+3)) ?

The domain of (-3x+1)/(sqrt(4x+3)) is x>-3/4

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domain of (-3x+1)/(sqrt(4x+3))

domain

\frac{- 3 x + 1}{4 x + 3}

x > - \frac{3}{4}

Interval Notation

(- \frac{3}{4}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{3}{4}

Find undefined (singularity) points:

x = - \frac{3}{4}

Combine real regions and undefined points for final function domain

x > - \frac{3}{4}

r (x) = \frac{x + 9}{x + 3}

f (x) = (x - 5)^{3}

2 x + 1, x < 0

f (x) = - 1 + 3 x + 5

What is the domain of (-3x+1)/(sqrt(4x+3)) ?
The domain of (-3x+1)/(sqrt(4x+3)) is x>-3/4