What is the domain of (-5+2x^2)/(3-4x) ?

The domain of (-5+2x^2)/(3-4x) is x 3/4

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domain of (-5+2x^2)/(3-4x)

domain

\frac{- 5 + 2 x ^{2}}{3 - 4 x}

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}

y = \frac{- x}{9 - x}

2 (2 x + 9) + 9

f (x) = \frac{x}{x ^{2} - 5 x + 6}

f (x) = \frac{x ^{2} - 25}{3 x - 24}

f (x) = \frac{3 x}{x ^{2} - 7 x + 12}

What is the domain of (-5+2x^2)/(3-4x) ?
The domain of (-5+2x^2)/(3-4x) is x< 3/4 \lor x> 3/4