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

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

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

domain

\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) = - 2 x^{2} + 10 x + 2

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

f (x) = 5 x - 2

x^{2} + 2, x \geq 0

f (x) = - x^{2} + 8 x - 11

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