What is the domain of y=(x-4)/(16-4x) ?

The domain of y=(x-4)/(16-4x) is x 4

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domain of y=(x-4)/(16-4x)

domain

y = \frac{x - 4}{16 - 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

- 3 x = 6 - y

f (x) = x^{3} - 3 x^{2} - 9 x

f (x) = \frac{( 3 x + x ^{3} + 2 )}{4 x ^{3} - 3 x ^{2} - 5}

f (x) = x^{2} - 4, x \geq 0

2 x^{3} - 4 x^{2}

What is the domain of y=(x-4)/(16-4x) ?
The domain of y=(x-4)/(16-4x) is x<4\lor x>4