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

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

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

domain

f (x) = \frac{x + 7}{2 - x}

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = \frac{( x ^{2} - x )}{x ^{2} - 9 x + 8}

(- 6, 5), (- 3, - 3)

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

(1, - 5), (4, 6)

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

What is the domain of f(x)=(x+7)/(2-x) ?
The domain of f(x)=(x+7)/(2-x) is x<2\lor x>2