What is the domain of y=(6x+5)/(4x-3) ?

The domain of y=(6x+5)/(4x-3) is x 3/4

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domain of y=(6x+5)/(4x-3)

domain

y = \frac{6 x + 5}{4 x - 3}

x < \frac{3}{4} or x > \frac{3}{4}

Interval Notation

(- \infty, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{4}

The function domain

x < \frac{3}{4} or x > \frac{3}{4}

f (x) = \frac{x + 9}{8 x ^{2} - x - 9}

f (x) = 3 sin (\frac{2 π}{5}) (x + 1) - 2

f (t) = 6 t^{2} + 500 t + 8000

f (x) = \frac{1}{x ^{2} + 4 x + 3}

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

What is the domain of y=(6x+5)/(4x-3) ?
The domain of y=(6x+5)/(4x-3) is x< 3/4 \lor x> 3/4