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

The domain of f(x)= 1/(x-1)+1/(x-2) is x 2

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domain of f(x)= 1/(x-1)+1/(x-2)

domain

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

x < 1 or 1 < x < 2 or x > 2

Solution steps

Find undefined (singularity) points:

x = 1, x = 2

The function domain

x < 1 or 1 < x < 2 or x > 2

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

\frac{2 x ^{4} - x ^{2} + 1}{x ^{2} - 4}

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

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

x^{2} - 2 x

What is the domain of f(x)= 1/(x-1)+1/(x-2) ?
The domain of f(x)= 1/(x-1)+1/(x-2) is x<1\lor 1<x<2\lor x>2