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

The domain of f(x)=(x-4)/(x^2+x-2) is x 1

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

domain

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

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

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

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

y = \frac{1}{x + 3}

f (x) = \frac{lo g _{10} ( x )}{x}

f (x) = \frac{6 x}{x ^{2} - 1}

cos (2 x + 5), 0 \leq x \leq 2 π

What is the domain of f(x)=(x-4)/(x^2+x-2) ?
The domain of f(x)=(x-4)/(x^2+x-2) is x<-2\lor-2<x<1\lor x>1