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

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

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

domain

f (x) = - \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

f (x) = x^{2} + 10 x + 24

f (x) = - \frac{2 x}{3} + 10

f (x) = \frac{x + 1}{( x + 3 ) ( x - 2 )}

f (x) = - 7 x^{2}

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

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