What is the domain of (x+7)/(2x-2) ?

The domain of (x+7)/(2x-2) is x 1

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domain of (x+7)/(2x-2)

domain

\frac{x + 7}{2 x - 2}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = \frac{3 x + 8}{- x ^{2} - 6 x + 16}

f (x) = \frac{x - 1}{x + 1}

f (x) = \frac{13}{3 x + 13}

f (x) = x^{2} + 8 x - 20

f (x) = \frac{1}{ln ( x + 1 )}