What is the domain of f(x)=(4x-5)/(x+6) ?

The domain of f(x)=(4x-5)/(x+6) is x -6

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domain of f(x)=(4x-5)/(x+6)

domain

f (x) = \frac{4 x - 5}{x + 6}

x < - 6 or x > - 6

Interval Notation

(- \infty, - 6) \cup (- 6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6

The function domain

x < - 6 or x > - 6

f (x) = \frac{2 x}{x ^{2}}

(\frac{5}{6})^{\frac{x ^{2} - 3 x}{x ^{2}}}

lo g_{10} (5 - 2 x)

\frac{2}{x ^{2} - 1} + x + 3

\frac{1}{2} tan (2 x)

What is the domain of f(x)=(4x-5)/(x+6) ?
The domain of f(x)=(4x-5)/(x+6) is x<-6\lor x>-6