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

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

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

domain

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

f (x) = 5 - 3 x^{3}

- 3 cos (2 x) - 2.5

f (x) = (x + 2) \cdot e^{\frac{1}{x}}

x^{2} - 4

f (x) = - 4 x^{4} + 8 x^{3}

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