What is the domain of f(x)=(2x)/(x^2-7x+10) ?

The domain of f(x)=(2x)/(x^2-7x+10) is x 5

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domain of f(x)=(2x)/(x^2-7x+10)

domain

f (x) = \frac{2 x}{x ^{2} - 7 x + 10}

x < 2 or 2 < x < 5 or x > 5

Interval Notation

(- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 2

The function domain

x < 2 or 2 < x < 5 or x > 5

\frac{7 x ^{2} + 5 x - 2}{2 x ^{2} - 18}

f (x) = - x^{3} + 69 x^{2}

\frac{33}{11} \frac{5.5}{11} \frac{16.5}{11}

f (x) = \frac{( - 8 ^{2} )}{( x - 7 ) ( x + 6 )}

What is the domain of f(x)=(2x)/(x^2-7x+10) ?
The domain of f(x)=(2x)/(x^2-7x+10) is x<2\lor 2<x<5\lor x>5