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Popular >

domain of y=sin(1/x)

Solution

domain

y = sin (\frac{1}{x})

Solution

x < 0 or x > 0

+1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

Popular Examples

domain of f(x)=(-6x^2-6x+12)/(x^2-36)domain

f (x) = \frac{- 6 x ^{2} - 6 x + 12}{x ^{2} - 36}

domain of f(x)=((x-1))/(2x)domain

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

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

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

domain of g(t)=6t^4-8t^3+14 domain

g (t) = 6 t^{4} - 8 t^{3} + 14

domain of f(x)=-|x+2|+3 domain

f (x) = - ∣ x + 2 ∣ + 3

Frequently Asked Questions (FAQ)

What is the domain of y=sin(1/x) ?
The domain of y=sin(1/x) is x<0\lor x>0