What is the domain of f(x)=(9-t^2)/(3-t) ?

The domain of f(x)=(9-t^2)/(3-t) is t 3

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domain of f(x)=(9-t^2)/(3-t)

domain

f (x) = \frac{9 - t ^{2}}{3 - t}

t < 3 or t > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

t = 3

The function domain

t < 3 or t > 3

f (x) = \frac{3 x}{x ^{2} - 9}

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

4^{x - 2} + 1

f (x) = \frac{5}{2 - x}

f (x) = \frac{∣ x ∣}{x}

What is the domain of f(x)=(9-t^2)/(3-t) ?
The domain of f(x)=(9-t^2)/(3-t) is t<3\lor t>3