What is the domain of f(x)=(-2)/(\sqrt[7]{x^2-5x+6)} ?

The domain of f(x)=(-2)/(\sqrt[7]{x^2-5x+6)} is x 3

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domain of f(x)=(-2)/(\sqrt[7]{x^2-5x+6)}

domain

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

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

e^{\frac{π}{2}} - e^{a r c t a n (1 + x^{2})}

f (x) = 2 x^{2} + 5 x - 6

f (x) = \frac{3 x ^{2} - 8 x - 3}{x - 3}

f (x) = \frac{x ^{2} + 6 x + 8}{x + 4}

What is the domain of f(x)=(-2)/(\sqrt[7]{x^2-5x+6)} ?
The domain of f(x)=(-2)/(\sqrt[7]{x^2-5x+6)} is x<2\lor 2<x<3\lor x>3