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

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

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

domain

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

x < - \frac{2}{5} or x > - \frac{2}{5}

Interval Notation

(- \infty, - \frac{2}{5}) \cup (- \frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{5}

The function domain

x < - \frac{2}{5} or x > - \frac{2}{5}

\frac{2 x - 1}{x ^{2} + x - 12}

f (x) = - 2 (x - 1)^{2} + 5 = 0

f (x) = 16 x^{2} + 9 y - 64 x + 18 y - 71 = 0

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

f (x) = 3 x^{4} = 18 x^{2}

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