What is the domain of f(x)=(3x-4)/(-2x+11) ?

The domain of f(x)=(3x-4)/(-2x+11) is x 11/2

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domain of f(x)=(3x-4)/(-2x+11)

domain

f (x) = \frac{3 x - 4}{- 2 x + 11}

x < \frac{11}{2} or x > \frac{11}{2}

Interval Notation

(- \infty, \frac{11}{2}) \cup (\frac{11}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{11}{2}

The function domain

x < \frac{11}{2} or x > \frac{11}{2}

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

f (x) = 4 x^{2} + 7

(3, 3), (- 18, - 5)

x + y = 4

\frac{4 x - 3}{6 - 2 x}

What is the domain of f(x)=(3x-4)/(-2x+11) ?
The domain of f(x)=(3x-4)/(-2x+11) is x< 11/2 \lor x> 11/2