What is the domain of (4x^2+10)/((x-8)(x+6)) ?

The domain of (4x^2+10)/((x-8)(x+6)) is x 8

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domain of (4x^2+10)/((x-8)(x+6))

domain

\frac{4 x ^{2} + 10}{( x - 8 ) ( x + 6 )}

x < - 6 or - 6 < x < 8 or x > 8

Interval Notation

(- \infty, - 6) \cup (- 6, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 6

The function domain

x < - 6 or - 6 < x < 8 or x > 8

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

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

f (x) = - 6 x^{4} + 1 - x

f (x) = 9 cos (x), 0 \leq x \leq 2 π

f (x) = \frac{( 4 x - 1 )}{2 x + 3}

What is the domain of (4x^2+10)/((x-8)(x+6)) ?
The domain of (4x^2+10)/((x-8)(x+6)) is x<-6\lor-6<x<8\lor x>8