What is the domain of f(x)=(x+1)/(sqrt(x-4x)) ?

The domain of f(x)=(x+1)/(sqrt(x-4x)) is x<0

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domain of f(x)=(x+1)/(sqrt(x-4x))

domain

f (x) = \frac{x + 1}{x - 4 x}

x < 0

Interval Notation

(- \infty, 0)

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0

y = \frac{1}{4 x ^{2} - 4 x - 3}

\frac{x ^{2} - 4 x - 12}{x + 2}

f (x) = 4 x^{2} + 1

f (x) = 16 - x^{2} + x - 3

f (x) = lo g_{10} (3) (x) + 2

What is the domain of f(x)=(x+1)/(sqrt(x-4x)) ?
The domain of f(x)=(x+1)/(sqrt(x-4x)) is x<0