What is the domain of f(x)=(2x^2+5x-12)/(x+4) ?

The domain of f(x)=(2x^2+5x-12)/(x+4) is x -4

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domain of f(x)=(2x^2+5x-12)/(x+4)

domain

f (x) = \frac{2 x ^{2} + 5 x - 12}{x + 4}

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

f (x) = \frac{2 x ^{2} - 5}{3 x + 6}

f (x) = \frac{7}{x ^{2} - 36}

f (x) = lo g_{1} (x)

f (x) = \frac{3 x ^{2} + 7 x - 1}{2 x ^{2} - x - 3}

f (x) = \frac{7 x ^{2} - 8 x + 11}{x - 6}

What is the domain of f(x)=(2x^2+5x-12)/(x+4) ?
The domain of f(x)=(2x^2+5x-12)/(x+4) is x<-4\lor x>-4