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

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

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

domain

f (x) = \frac{3}{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) = - 3 + 2 lo g_{2} (5 - x)

(4, 1), (9, 1)

y = 2 x + 14

\frac{8 x}{( x ^{2} - 16 )}

f (x) = 4 - 7 x^{3}

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