What is the domain of f(x)=sqrt((x-2)/(x^2-3x+4)) ?

The domain of f(x)=sqrt((x-2)/(x^2-3x+4)) is x>= 2

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domain of f(x)=sqrt((x-2)/(x^2-3x+4))

domain

f (x) = \frac{x - 2}{x ^{2} - 3 x + 4}

x \geq 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 2

The function domain

x \geq 2

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

f (x) = \frac{9 - x ^{2}}{x - 2}

f (x) = 5^{x + 1}

3 x - x^{2} + \frac{28}{x - 10} + 5 x

x + 17

What is the domain of f(x)=sqrt((x-2)/(x^2-3x+4)) ?
The domain of f(x)=sqrt((x-2)/(x^2-3x+4)) is x>= 2