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

The domain of f(x)=(x+8)/(7x^2-x-8) is x 8/7

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domain of f(x)=(x+8)/(7x^2-x-8)

domain

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

x < - 1 or - 1 < x < \frac{8}{7} or x > \frac{8}{7}

Interval Notation

(- \infty, - 1) \cup (- 1, \frac{8}{7}) \cup (\frac{8}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{8}{7}, x = - 1

The function domain

x < - 1 or - 1 < x < \frac{8}{7} or x > \frac{8}{7}

- 4^{(1 - x)} + 5

ln (x - 2) + 3

f (x) = 3^{x - 1} - 2

f (x) = 3^{x - 1} - 1

y = 4 + (x - 2)

What is the domain of f(x)=(x+8)/(7x^2-x-8) ?
The domain of f(x)=(x+8)/(7x^2-x-8) is x<-1\lor-1<x< 8/7 \lor x> 8/7