What is the domain of f(x)=(1+3x)/(5-2x) ?

The domain of f(x)=(1+3x)/(5-2x) is x 5/2

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domain of f(x)=(1+3x)/(5-2x)

domain

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

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}

The function domain

x < \frac{5}{2} or x > \frac{5}{2}

f (x) = e^{x + 6}

\frac{6}{x + 2}

g (x) = \frac{1 - x}{x + 2}

f (x) = 4 x + 1

y = \frac{x}{x - 1}

What is the domain of f(x)=(1+3x)/(5-2x) ?
The domain of f(x)=(1+3x)/(5-2x) is x< 5/2 \lor x> 5/2