What is the domain of f(x)=(3x^2-10x+8)/(x-5) ?

The domain of f(x)=(3x^2-10x+8)/(x-5) is x 5

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domain of f(x)=(3x^2-10x+8)/(x-5)

domain

f (x) = \frac{3 x ^{2} - 10 x + 8}{x - 5}

x < 5 or x > 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

\frac{2}{- x + 26}

y = 4 x + 8, (4, 8)

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

y = x^{3} - 1

y = 2 x

What is the domain of f(x)=(3x^2-10x+8)/(x-5) ?
The domain of f(x)=(3x^2-10x+8)/(x-5) is x<5\lor x>5