What is the domain of f(x)= 5/(2sqrt(5x+6)) ?

The domain of f(x)= 5/(2sqrt(5x+6)) is x>-6/5

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domain of f(x)= 5/(2sqrt(5x+6))

domain

f (x) = \frac{5}{2 5 x + 6}

x > - \frac{6}{5}

Solution steps

Find non-negative values for radicals:

x \geq - \frac{6}{5}

Find undefined (singularity) points:

x = - \frac{6}{5}

Combine real regions and undefined points for final function domain

x > - \frac{6}{5}

f (x) = 2 x^{2} + 10 x + 1

3 x - 2 y = 8

6 X - Y + 20 = 0

f (x) = \frac{2 x + 9}{3 x - 2}

f (x) = \frac{( x ^{2} + 1 )}{2 x ^{2} + 7}

What is the domain of f(x)= 5/(2sqrt(5x+6)) ?
The domain of f(x)= 5/(2sqrt(5x+6)) is x>-6/5