What is the domain of f(x)= 1/(\frac{2){x+5}-2} ?

The domain of f(x)= 1/(\frac{2){x+5}-2} is x -4

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domain of f(x)= 1/(\frac{2){x+5}-2}

domain

f (x) = \frac{1}{\frac{2}{x + 5} - 2}

x < - 5 or - 5 < x < - 4 or x > - 4

Interval Notation

(- \infty, - 5) \cup (- 5, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = - 5

The function domain

x < - 5 or - 5 < x < - 4 or x > - 4

What is the domain of f(x)= 1/(\frac{2){x+5}-2} ?
The domain of f(x)= 1/(\frac{2){x+5}-2} is x<-5\lor-5<x<-4\lor x>-4