What is the domain of f(x)= 5/(2sqrt(4+5x)) ?

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

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domain of f(x)= 5/(2sqrt(4+5x))

domain

f (x) = \frac{5}{2 4 + 5 x}

x > - \frac{4}{5}

Interval Notation

(- \frac{4}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - \frac{4}{5}

Find undefined (singularity) points:

x = - \frac{4}{5}

Combine real regions and undefined points for final function domain

x > - \frac{4}{5}

2 cos (3 x + \frac{π}{2})

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

y = x^{2} + 4

\frac{x ^{2} - x - 2}{x - 2}

f (x) = x^{2} - 4 x + 3

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