What is the domain of f(x)=(3x+5)/(6x+5) ?

The domain of f(x)=(3x+5)/(6x+5) is x -5/6

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domain of f(x)=(3x+5)/(6x+5)

domain

f (x) = \frac{3 x + 5}{6 x + 5}

x < - \frac{5}{6} or x > - \frac{5}{6}

Interval Notation

(- \infty, - \frac{5}{6}) \cup (- \frac{5}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{6}

The function domain

x < - \frac{5}{6} or x > - \frac{5}{6}

f (x) = ∣ 3 x + 4 ∣

y = 2^{x - 4} + 3

\frac{t}{t + 1}

f (x) = \frac{4 x + 9}{x ^{2} + 11 x + 30}

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

What is the domain of f(x)=(3x+5)/(6x+5) ?
The domain of f(x)=(3x+5)/(6x+5) is x<-5/6 \lor x>-5/6