What is the domain of f(x)=(x-7)/(x^2+14x+49) ?

The domain of f(x)=(x-7)/(x^2+14x+49) is x -7

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domain of f(x)=(x-7)/(x^2+14x+49)

domain

f (x) = \frac{x - 7}{x ^{2} + 14 x + 49}

x < - 7 or x > - 7

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 7

The function domain

x < - 7 or x > - 7

f (x) = x^{4} - 4 x^{3} + \frac{14}{3} x^{2} - \frac{9}{7} x + 2

f (x) = \frac{x - 5}{x + 7}

f (x) = \frac{x - 4}{x ^{2} - 5 x + 6}

f (x) = - 4 x

ln (e^{x})

What is the domain of f(x)=(x-7)/(x^2+14x+49) ?
The domain of f(x)=(x-7)/(x^2+14x+49) is x<-7\lor x>-7