What is the domain of f(x)= t/(sqrt(t^2-25)) ?

The domain of f(x)= t/(sqrt(t^2-25)) is t 5

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domain of f(x)= t/(sqrt(t^2-25))

domain

f (x) = \frac{t}{t ^{2} - 25}

t < - 5 or t > 5

Interval Notation

(- \infty, - 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

t \leq - 5 or t \geq 5

Find undefined (singularity) points:

t = 5, t = - 5

Combine real regions and undefined points for final function domain

t < - 5 or t > 5

f (x) = 4^{1 - x}

p (x) = x^{6} - 2 x^{3} + 2 x + 7

arccos (1 + x - x^{2})

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

4 - 3 (- 6 n - 2)

What is the domain of f(x)= t/(sqrt(t^2-25)) ?
The domain of f(x)= t/(sqrt(t^2-25)) is t<-5\lor t>5