What is the domain of (-2x+5)/(sqrt(4x+3)) ?

The domain of (-2x+5)/(sqrt(4x+3)) is x>-3/4

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domain of (-2x+5)/(sqrt(4x+3))

domain

\frac{- 2 x + 5}{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}

x^{2} - 6 x + 45

f (x) = (3 x - 5) (2 x + 1)

\frac{- x ^{3} - 2 x ^{2} + 4 x + 1}{x - 1}

ln (- x^{2} + 3 x + 10)

f (x) = \frac{1}{x ^{2}} + 3

What is the domain of (-2x+5)/(sqrt(4x+3)) ?
The domain of (-2x+5)/(sqrt(4x+3)) is x>-3/4