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

The domain of f(x)=sqrt((3-x+2)/(5-x)) is x 5

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

domain

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

x < 5 or x > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x < 5 or x > 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5 or x > 5

f (x) = \frac{- 4 x + 7}{5 x - 2}

y + x^{2} = 4 x - 3

f (x) = \frac{x + 5}{x - 5}

- - x - 2

f (x) = 3 \cdot 0 - 1

What is the domain of f(x)=sqrt((3-x+2)/(5-x)) ?
The domain of f(x)=sqrt((3-x+2)/(5-x)) is x<5\lor x>5