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

The domain of y= 1/(\frac{x){1/x+x}} is x 0

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

domain

y = \frac{1}{\frac{x}{\frac{1}{x} + x}}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{x ^{2} - 25}{x ^{2} - 3 x}

f (x) = - x - 3 + 4

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

f (x) = \frac{t ^{2} + 7}{t}

f (x) = \frac{3 x - 2}{x + 6}

What is the domain of y= 1/(\frac{x){1/x+x}} ?
The domain of y= 1/(\frac{x){1/x+x}} is x<0\lor x>0