What is the domain of f(x)=(10)/((3x-1)^2) ?

The domain of f(x)=(10)/((3x-1)^2) is x 1/3

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domain of f(x)=(10)/((3x-1)^2)

domain

f (x) = \frac{10}{( 3 x - 1 ) ^{2}}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

f (x) = 5 x - 4

2 x - 7

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

\frac{3 x}{7 x - 8}

x^{2} + 6 x

What is the domain of f(x)=(10)/((3x-1)^2) ?
The domain of f(x)=(10)/((3x-1)^2) is x< 1/3 \lor x> 1/3