What is the domain of f(x)=(2x-6)/(-x+4) ?

The domain of f(x)=(2x-6)/(-x+4) is x 4

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domain of f(x)=(2x-6)/(-x+4)

domain

f (x) = \frac{2 x - 6}{- x + 4}

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{4 x}{x ^{2} + 16}

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

ln (3 x - 2)

\frac{x ^{2} - 8 x - 9}{2 x ^{2} - x - 10}

y = \frac{6}{3 - x}

What is the domain of f(x)=(2x-6)/(-x+4) ?
The domain of f(x)=(2x-6)/(-x+4) is x<4\lor x>4