What is the domain of f(x)=(x+7)/(x-5) ?

The domain of f(x)=(x+7)/(x-5) is x 5

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domain of f(x)=(x+7)/(x-5)

domain

f (x) = \frac{x + 7}{x - 5}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

\frac{2 x}{3 x + 8}

\frac{x ^{2} - 9}{x + 3}

∣ 3 - 2 x ∣ - x^{2} - 3 x + 2

f (x) = \frac{2 x - 1}{x ^{2} - 1}

y = \frac{3 x + 4}{- 2 x + 6}

What is the domain of f(x)=(x+7)/(x-5) ?
The domain of f(x)=(x+7)/(x-5) is x<5\lor x>5