What is the domain of f(x)=(4x^2-100)/(5x^2-20x-25) ?

The domain of f(x)=(4x^2-100)/(5x^2-20x-25) is x 5

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domain of f(x)=(4x^2-100)/(5x^2-20x-25)

domain

f (x) = \frac{4 x ^{2} - 100}{5 x ^{2} - 20 x - 25}

x < - 1 or - 1 < x < 5 or x > 5

Interval Notation

(- \infty, - 1) \cup (- 1, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 1

The function domain

x < - 1 or - 1 < x < 5 or x > 5

f (x) = x - 3

f (x) = (x - 1)^{2} - 6, x \geq 1

(3) (5)

(x + 1)^{3}

f (x) = \frac{x}{x + 1}

What is the domain of f(x)=(4x^2-100)/(5x^2-20x-25) ?
The domain of f(x)=(4x^2-100)/(5x^2-20x-25) is x<-1\lor-1<x<5\lor x>5