What is the domain of g(x)=x+(10)/(8-x) ?

The domain of g(x)=x+(10)/(8-x) is x 8

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domain of g(x)=x+(10)/(8-x)

domain

g (x) = x + \frac{10}{8 - x}

x < 8 or x > 8

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 8

The function domain

x < 8 or x > 8

(3.6) (11.13)

f (x) = x^{2} - 2 x - 24

f (x) = 7 - x^{2}, x \geq 0

(10.1) (6.5)

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

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