What is the domain of (3x+5)/(2x-1)+(7x+3)/(1-2x) ?

The domain of (3x+5)/(2x-1)+(7x+3)/(1-2x) is x 1/2

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domain of (3x+5)/(2x-1)+(7x+3)/(1-2x)

domain

\frac{3 x + 5}{2 x - 1} + \frac{7 x + 3}{1 - 2 x}

x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

x < \frac{1}{2} or x > \frac{1}{2}

f (x) = \frac{x ^{2}}{3 x - 6}

f (y) = x^{2} + 2 x - 2

f (x) = \frac{3 x}{8 x - 7}

\frac{e ^{x}}{2 + e ^{x}}

f (x) = lo g_{2} (2^{x} + 6) + 3

What is the domain of (3x+5)/(2x-1)+(7x+3)/(1-2x) ?
The domain of (3x+5)/(2x-1)+(7x+3)/(1-2x) is x< 1/2 \lor x> 1/2