What is the domain of f(x)= 1/(x+8)+3/(x-10) ?

The domain of f(x)= 1/(x+8)+3/(x-10) is x 10

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domain of f(x)= 1/(x+8)+3/(x-10)

domain

f (x) = \frac{1}{x + 8} + \frac{3}{x - 10}

x < - 8 or - 8 < x < 10 or x > 10

Interval Notation

(- \infty, - 8) \cup (- 8, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = - 8, x = 10

The function domain

x < - 8 or - 8 < x < 10 or x > 10

h (t) = - 16 t^{2} + 96 t

y = - x^{2} + 36

y = x^{2} + 10 x + 25

(2 \frac{1}{2}, - \frac{1}{4}), (3 \frac{1}{4}, - 1)

\frac{x}{x ^{2} + 2}

What is the domain of f(x)= 1/(x+8)+3/(x-10) ?
The domain of f(x)= 1/(x+8)+3/(x-10) is x<-8\lor-8<x<10\lor x>10