What is the domain of f(x)=(x-4)/(x^2-11x+28) ?

The domain of f(x)=(x-4)/(x^2-11x+28) is x 7

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domain of f(x)=(x-4)/(x^2-11x+28)

domain

f (x) = \frac{x - 4}{x ^{2} - 11 x + 28}

x < 4 or 4 < x < 7 or x > 7

Interval Notation

(- \infty, 4) \cup (4, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 4

The function domain

x < 4 or 4 < x < 7 or x > 7

f (x) = 2 - \frac{3 x + 11}{x + 5}

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

3 sin (- 4 x - π) - 5

f (x) = (x - 4)^{2} + 3

2 + x - 3

What is the domain of f(x)=(x-4)/(x^2-11x+28) ?
The domain of f(x)=(x-4)/(x^2-11x+28) is x<4\lor 4<x<7\lor x>7