What is the domain of r(x)=(3x+1)/(4x-1) ?

The domain of r(x)=(3x+1)/(4x-1) is x 1/4

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domain of r(x)=(3x+1)/(4x-1)

domain

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

x < \frac{1}{4} or x > \frac{1}{4}

Interval Notation

(- \infty, \frac{1}{4}) \cup (\frac{1}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{4}

The function domain

x < \frac{1}{4} or x > \frac{1}{4}

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

f (x) = 3 (x - 2)

y = \frac{( x + 4 )}{2 ( x - 2 )}

f (x) = 2 x^{2} - 11 x + 12

y = \frac{x - 3}{( x + 7 ) ( x - 13 )}

What is the domain of r(x)=(3x+1)/(4x-1) ?
The domain of r(x)=(3x+1)/(4x-1) is x< 1/4 \lor x> 1/4