What is the domain of f(x)=(sqrt(1-x))/(x^2-5x+4) ?

The domain of f(x)=(sqrt(1-x))/(x^2-5x+4) is x<1

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domain of f(x)=(sqrt(1-x))/(x^2-5x+4)

domain

f (x) = \frac{1 - x}{x ^{2} - 5 x + 4}

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = 4, x = 1

Combine real regions and undefined points for final function domain

x < 1

What is the domain of f(x)=(sqrt(1-x))/(x^2-5x+4) ?
The domain of f(x)=(sqrt(1-x))/(x^2-5x+4) is x<1