What is the domain of ((x^2+3)sqrt(5-x))/(5-x) ?

The domain of ((x^2+3)sqrt(5-x))/(5-x) is x<5

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domain of ((x^2+3)sqrt(5-x))/(5-x)

domain

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

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

What is the domain of ((x^2+3)sqrt(5-x))/(5-x) ?
The domain of ((x^2+3)sqrt(5-x))/(5-x) is x<5