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

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

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

domain

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

- 7 \leq x < 2 or x > 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 7

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 7 \leq x < 2 or x > 2

y = - \frac{1}{6} x + 3, (1, 10)

f (x) = - x - 5

- x^{2} + 4 x - 3

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

100

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