What is the domain of f(x)=(-1)/(x^2+10x+25) ?

The domain of f(x)=(-1)/(x^2+10x+25) is x -5

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domain of f(x)=(-1)/(x^2+10x+25)

domain

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

f (x) = \frac{26}{x - 7}

f (x) = x^{2} - 2 x - 1

\frac{3 x ^{2} + 5 x + 2}{x ^{2} + 4 x + 3}

(7, - 1), (- 2, 10)

\frac{x}{x + 3}

What is the domain of f(x)=(-1)/(x^2+10x+25) ?
The domain of f(x)=(-1)/(x^2+10x+25) is x<-5\lor x>-5