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

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

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

domain

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

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}

e^{2 t}

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

f (t) = \frac{3 t + 2}{t + 1}

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

f (x) = x^{2} + 7 x - 12

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