What is the domain of 7/(x^2-16)-((x+4))/(x^2-8x+16) ?

The domain of 7/(x^2-16)-((x+4))/(x^2-8x+16) is x 4

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domain of 7/(x^2-16)-((x+4))/(x^2-8x+16)

domain

\frac{7}{x ^{2} - 16} - \frac{( x + 4 )}{x ^{2} - 8 x + 16}

x < - 4 or - 4 < x < 4 or x > 4

Interval Notation

(- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 4

The function domain

x < - 4 or - 4 < x < 4 or x > 4

f (x) = \frac{5 x - 6}{5 x + 40}

x^{3} - 64

f (x) = \frac{x + 3}{8}

f (x) = \frac{x ( x - 1 )}{x + 5}

3 x - 5 - 2 x + 1

What is the domain of 7/(x^2-16)-((x+4))/(x^2-8x+16) ?
The domain of 7/(x^2-16)-((x+4))/(x^2-8x+16) is x<-4\lor-4<x<4\lor x>4