What is the domain of (7x^2+5x-2)/(2x^2-18) ?

The domain of (7x^2+5x-2)/(2x^2-18) is x 3

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domain of (7x^2+5x-2)/(2x^2-18)

domain

\frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

f (x) = - x^{3} + 69 x^{2}

\frac{33}{11} \frac{5.5}{11} \frac{16.5}{11}

f (x) = \frac{( - 8 ^{2} )}{( x - 7 ) ( x + 6 )}

f (x) = 2 y - 4 x^{(2)} = 3

What is the domain of (7x^2+5x-2)/(2x^2-18) ?
The domain of (7x^2+5x-2)/(2x^2-18) is x<-3\lor-3<x<3\lor x>3