What is the domain of (sqrt(5-x))/(-4x+8) ?

The domain of (sqrt(5-x))/(-4x+8) is x<2\lor 2<x<= 5

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domain of (sqrt(5-x))/(-4x+8)

domain

\frac{5 - x}{- 4 x + 8}

x < 2 or 2 < x \leq 5

Interval Notation

(- \infty, 2) \cup (2, 5]

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2 or 2 < x \leq 5

\frac{5 x + 2}{x + 1}

lo g_{2} (x^{2} - 6 x + 8)

f (x) = \frac{5}{x ^{2} + 3 x - 10}

f (x) = 3 x + \frac{6}{x} - \frac{1}{x ^{3}}

f (x) = 4 x - 6, x \neq = 1

What is the domain of (sqrt(5-x))/(-4x+8) ?
The domain of (sqrt(5-x))/(-4x+8) is x<2\lor 2<x<= 5