What is the domain of 7/(x^2-14x-32) ?

The domain of 7/(x^2-14x-32) is x 16

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domain of 7/(x^2-14x-32)

domain

\frac{7}{x ^{2} - 14 x - 32}

x < - 2 or - 2 < x < 16 or x > 16

Interval Notation

(- \infty, - 2) \cup (- 2, 16) \cup (16, \infty)

Solution steps

Find undefined (singularity) points:

x = 16, x = - 2

The function domain

x < - 2 or - 2 < x < 16 or x > 16

f (x) = 3 (2^{x})

f (x) = 15 cos (3 x - \frac{3 π}{5}) - 7

f (x) = \frac{3 x}{7 x - 5}

\frac{x}{x + 1}

\frac{x ^{2} + 6}{3 x ^{2} - 12 x - 15}

What is the domain of 7/(x^2-14x-32) ?
The domain of 7/(x^2-14x-32) is x<-2\lor-2<x<16\lor x>16