What is the domain of f(x)=(2*x-3)/((x-5)*(x+5)) ?

The domain of f(x)=(2*x-3)/((x-5)*(x+5)) is x 5

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domain of f(x)=(2x-3)/((x-5)(x+5))

domain

f (x) = \frac{2 \cdot x - 3}{( x - 5 ) \cdot ( x + 5 )}

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

\frac{2 x}{x - 4} - \frac{x}{x + 5}

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

f (x) = \frac{9 - 4 x}{x - 4}

(x - 1)^{2} \cdot (x + 2)^{2}

f (x) = - 0.8 x - 1.3

What is the domain of f(x)=(2*x-3)/((x-5)*(x+5)) ?
The domain of f(x)=(2*x-3)/((x-5)*(x+5)) is x<-5\lor-5<x<5\lor x>5