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

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

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

domain

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

2 e^{3 x} - 4

f (x) = \frac{4}{x - 4}

lo g_{2} (lo g_{2} (1 - x))

x^{2} + 4 x + 9

f (x) = lo g_{3} (2 x)

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