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

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

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

domain

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

x < - \frac{5}{3} or x > - \frac{5}{3}

Interval Notation

(- \infty, - \frac{5}{3}) \cup (- \frac{5}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{3}

The function domain

x < - \frac{5}{3} or x > - \frac{5}{3}

f (x) = 6 + \frac{40}{x}

f (x) = - 5 x^{2} - 40 x - 77

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

x + 13 y = - 8

\frac{1}{x + 8} + ln (\frac{1}{x} - \frac{1}{1 - x})

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