What is the domain of f(x)=(x^2)/(4-x) ?

The domain of f(x)=(x^2)/(4-x) is x 4

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domain of f(x)=(x^2)/(4-x)

domain

f (x) = \frac{x ^{2}}{4 - x}

x < 4 or x > 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

f (x) = \frac{x + 2}{x ^{2} - ( - 9 )}

f (x) = - 2 (x - 4)^{2} + 1

2 x^{2} + 3 x + 4

- 35 - 18 x

f (x) = 3 x^{2} + 4 x + 1

What is the domain of f(x)=(x^2)/(4-x) ?
The domain of f(x)=(x^2)/(4-x) is x<4\lor x>4