What is the domain of g(x)=(a-3x)/(2x-e) ?

The domain of g(x)=(a-3x)/(2x-e) is x e/2

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domain of g(x)=(a-3x)/(2x-e)

domain

g (x) = \frac{a - 3 x}{2 x - e}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{e}{2}

The function domain

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

f (x) = \frac{x + 8 + x - 2}{6}

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

(3 x - 3)^{2}

\frac{x ^{2} + x - 42}{x ^{2} - x - 30}

e^{x + 4} + 7

What is the domain of g(x)=(a-3x)/(2x-e) ?
The domain of g(x)=(a-3x)/(2x-e) is x< e/2 \lor x> e/2