What is the domain of g(t)=-3/(2t^{3/2)} ?

The domain of g(t)=-3/(2t^{3/2)} is t>0

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domain of g(t)=-3/(2t^{3/2)}

domain

g (t) = - \frac{3}{2 t ^{\frac{3}{2}}}

t > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 0

Find undefined (singularity) points:

t = 0

Combine real regions and undefined points for final function domain

t > 0

5 + (6 + x)^{\frac{1}{2}}

\frac{x ^{2} - 4}{x - 2}

y = 2 x

x^{2} + 7 x

f (x) = 2 x y - 4 x + 6 y - 3 = 0

What is the domain of g(t)=-3/(2t^{3/2)} ?
The domain of g(t)=-3/(2t^{3/2)} is t>0