What is the domain of f(x)=(sqrt(7+x))/(8-x) ?

The domain of f(x)=(sqrt(7+x))/(8-x) is -7 8

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domain of f(x)=(sqrt(7+x))/(8-x)

domain

f (x) = \frac{7 + x}{8 - x}

- 7 \leq x < 8 or x > 8

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 7

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

- 7 \leq x < 8 or x > 8

X + 3

\frac{5}{x}

f (x) = 4 x^{2} - 4

9 e^{\frac{( w + 4 ) ^{2}}{32}}

f (x) = 6 x^{4} + 8 x^{3}

What is the domain of f(x)=(sqrt(7+x))/(8-x) ?
The domain of f(x)=(sqrt(7+x))/(8-x) is -7<= x<8\lor x>8