What is the domain of (sqrt(5-x))/(4(-x+2)) ?

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

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domain of (sqrt(5-x))/(4(-x+2))

domain

\frac{5 - x}{4 ( - x + 2 )}

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

f (x) = \frac{x ^{2} - 11 x + 18}{x - 8}

(9 x - 2) x^{3}

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

U (x) = 9 x - 1620

\frac{x ^{2} - 9}{x ^{2} + 2 x - 8}

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