What is the domain of f(x)=(-6)/(25x^2-4) ?

The domain of f(x)=(-6)/(25x^2-4) is x 2/5

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domain of f(x)=(-6)/(25x^2-4)

domain

f (x) = \frac{- 6}{25 x ^{2} - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{2}{5}, x = - \frac{2}{5}

The function domain

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

f (x) = \frac{x}{4 - x} - \frac{2}{x ^{2} - 5 x}

f (x) = lo g_{10} (3 - 2 x) + 5

f (x) = \frac{x \cdot 10 - x}{2 x - 9}

f (x) = - x - 5 + 1

x \cdot ln (x)

What is the domain of f(x)=(-6)/(25x^2-4) ?
The domain of f(x)=(-6)/(25x^2-4) is x<-2/5 \lor-2/5 <x< 2/5 \lor x> 2/5