What is the domain of f(x)=(3x+4)/(sqrt(6-6x)) ?

The domain of f(x)=(3x+4)/(sqrt(6-6x)) is x<1

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domain of f(x)=(3x+4)/(sqrt(6-6x))

domain

f (x) = \frac{3 x + 4}{6 - 6 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) = y^{2} - x - 4 y + 3 = 0

y = \frac{1}{x - 4}

10 x - x^{2}

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

f (x) = \frac{x ^{2} - 5 x}{x ^{2} - 7 x + 6}

What is the domain of f(x)=(3x+4)/(sqrt(6-6x)) ?
The domain of f(x)=(3x+4)/(sqrt(6-6x)) is x<1