What is the domain of f(x)=(5-6x)/(2(6+5x)) ?

The domain of f(x)=(5-6x)/(2(6+5x)) is x -6/5

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domain of f(x)=(5-6x)/(2(6+5x))

domain

f (x) = \frac{5 - 6 x}{2 ( 6 + 5 x )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{6}{5}

The function domain

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

f (t) = 4 t^{2} - 6

f (x) = 2 x^{3} - x

2 x^{3} - 3 x^{2} - 12 x + 8

\frac{2 x + 14}{x ^{2} - 49}

\frac{1}{6 - 2 x - x ^{2}}

What is the domain of f(x)=(5-6x)/(2(6+5x)) ?
The domain of f(x)=(5-6x)/(2(6+5x)) is x<-6/5 \lor x>-6/5