What is the domain of f(x)=sqrt(t-5) ?

The domain of f(x)=sqrt(t-5) is t>= 5

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domain of f(x)=sqrt(t-5)

domain

f (x) = t - 5

t \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

t \geq 5

The function domain

t \geq 5

y = - (x - 1)^{3} (x + 3)^{2}

y = 5^{x^{2} - 4 x - 2}

f (x) = t - 1

y = \frac{1}{x ^{2} - 2 x - 8}

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