What is the domain of f(x)=(8x+3)/(sqrt(-5-5x)) ?

The domain of f(x)=(8x+3)/(sqrt(-5-5x)) is x<-1

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domain of f(x)=(8x+3)/(sqrt(-5-5x))

domain

f (x) = \frac{8 x + 3}{- 5 - 5 x}

x < - 1

Interval Notation

(- \infty, - 1)

Solution steps

Find non-negative values for radicals:

x \leq - 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1

f (x) = \frac{7}{x - 5}

- 2 cos (\frac{1}{4}) (y - \frac{π}{2})

y = 3 x

\frac{x ^{2} - 25}{6 x + 1}

f (x) = lo g_{10} (3 - x)

What is the domain of f(x)=(8x+3)/(sqrt(-5-5x)) ?
The domain of f(x)=(8x+3)/(sqrt(-5-5x)) is x<-1