What is the domain of f(x)=(x-5)/(x^2+10x+25) ?

The domain of f(x)=(x-5)/(x^2+10x+25) is x -5

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domain of f(x)=(x-5)/(x^2+10x+25)

domain

f (x) = \frac{x - 5}{x ^{2} + 10 x + 25}

x < - 5 or x > - 5

Interval Notation

(- \infty, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

y = x - 4

f (x) = \frac{1}{( x - 8 ) ^{2}}

f (x) = x^{3} + 10

f (x) = 3 lo g_{2} (x)

e^{x - 1}

What is the domain of f(x)=(x-5)/(x^2+10x+25) ?
The domain of f(x)=(x-5)/(x^2+10x+25) is x<-5\lor x>-5