What is the domain of 1/(\frac{1){x+5}+5} ?

The domain of 1/(\frac{1){x+5}+5} is x -5

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domain of 1/(\frac{1){x+5}+5}

domain

\frac{1}{\frac{1}{x + 5} + 5}

x < - \frac{26}{5} or - \frac{26}{5} < x < - 5 or x > - 5

Interval Notation

(- \infty, - \frac{26}{5}) \cup (- \frac{26}{5}, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{26}{5}, x = - 5

The function domain

x < - \frac{26}{5} or - \frac{26}{5} < x < - 5 or x > - 5

x^{5} + 2 x^{4} - x - 2

(- 4, - 3), (8, - 9)

x^{2} - 2 x - 4

f (x) = lo g_{2} (x + 1)

f (x) = 3 lo g_{2} (x + 1) - 3

What is the domain of 1/(\frac{1){x+5}+5} ?
The domain of 1/(\frac{1){x+5}+5} is x<-26/5 \lor-26/5 <x<-5\lor x>-5