What is the domain of f(t)=(sin(10t))/t+sin(2t)cos(3t) ?

The domain of f(t)=(sin(10t))/t+sin(2t)cos(3t) is t 0

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domain of f(t)=(sin(10t))/t+sin(2t)cos(3t)

domain

f (t) = \frac{sin ( 10 t )}{t} + sin (2 t) cos (3 t)

t < 0 or t > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

t = 0

The function domain

t < 0 or t > 0

y = cos (x) - sin (x)

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

F (x) = \frac{2 x ^{2} - 8}{3 x}

f (x) = 2 x + 3 x^{1.7}

f (x) = x^{6} + 7 x^{5} + 10 x^{4} - x^{3} + 10 x^{2} + 7 x + 1

What is the domain of f(t)=(sin(10t))/t+sin(2t)cos(3t) ?
The domain of f(t)=(sin(10t))/t+sin(2t)cos(3t) is t<0\lor t>0