What is the domain of f(x)= 8/(sqrt(8+t)) ?

The domain of f(x)= 8/(sqrt(8+t)) is t>-8

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domain of f(x)= 8/(sqrt(8+t))

domain

f (x) = \frac{8}{8 + t}

t > - 8

Interval Notation

(- 8, \infty)

Solution steps

Find non-negative values for radicals:

t \geq - 8

Find undefined (singularity) points:

t = - 8

Combine real regions and undefined points for final function domain

t > - 8

f (x) = 3 x^{3} + 45 x^{2} + 81 x + 40

f (x) = - 2 x - 2 + 4

f (x) = - 6 sin (3 π x + 4) - 2

f (x) = 6 x^{2} + 6 x - 1

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

What is the domain of f(x)= 8/(sqrt(8+t)) ?
The domain of f(x)= 8/(sqrt(8+t)) is t>-8