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

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

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domain of f(x)= 4/(sqrt(1-3x))

domain

f (x) = \frac{4}{1 - 3 x}

x < \frac{1}{3}

Interval Notation

(- \infty, \frac{1}{3})

Solution steps

Find non-negative values for radicals:

x \leq \frac{1}{3}

Find undefined (singularity) points:

x = \frac{1}{3}

Combine real regions and undefined points for final function domain

x < \frac{1}{3}

f (x) = 6 (x - e^{x})

f (x) = 2 x + 8

f (x) = - x + ln (x)

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

3 x + 2

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