What is the domain of f(x)=(-2x+3)/(sqrt(5x+1)) ?

The domain of f(x)=(-2x+3)/(sqrt(5x+1)) is x>-1/5

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domain of f(x)=(-2x+3)/(sqrt(5x+1))

domain

f (x) = \frac{- 2 x + 3}{5 x + 1}

x > - \frac{1}{5}

Interval Notation

(- \frac{1}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{1}{5}

Find undefined (singularity) points:

x = - \frac{1}{5}

Combine real regions and undefined points for final function domain

x > - \frac{1}{5}

3 x^{3} - 25 x^{2} + 64 x - 48

\frac{3 x - 4}{x ^{3} - 9 x}

lo g_{5} (2 - 7 x)

\frac{p ^{2} + 5 p + 6}{p ^{2} - 4}

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

What is the domain of f(x)=(-2x+3)/(sqrt(5x+1)) ?
The domain of f(x)=(-2x+3)/(sqrt(5x+1)) is x>-1/5