What is the domain of f(x)=(x^2-2x+7)/(sqrt(4-x)) ?

The domain of f(x)=(x^2-2x+7)/(sqrt(4-x)) is x<4

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domain of f(x)=(x^2-2x+7)/(sqrt(4-x))

domain

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

x < 4

Interval Notation

(- \infty, 4)

Solution steps

Find non-negative values for radicals:

x \leq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x < 4

f (x) = \frac{11}{x}

f (x) = sin (7 x)

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

∣ x ∣

f (x) = \frac{( 5 x + 7 )}{9 x}

What is the domain of f(x)=(x^2-2x+7)/(sqrt(4-x)) ?
The domain of f(x)=(x^2-2x+7)/(sqrt(4-x)) is x<4