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

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

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

domain

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

x < 2 or 2 < x \leq 5

Interval Notation

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

y = \frac{x ^{2} - 4 x + 3}{x - 1}

f (x) = 1 - 2 x - 3 - 2 x - x^{2}

f (x) = 175 x^{2} - x

\frac{2 x}{x ^{2} + 3 x}

y^{3} = x

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