What is the domain of (1-4t)/(3+t) ?

The domain of (1-4t)/(3+t) is t -3

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domain of (1-4t)/(3+t)

domain

\frac{1 - 4 t}{3 + t}

t < - 3 or t > - 3

Solution steps

Find undefined (singularity) points:

t = - 3

The function domain

t < - 3 or t > - 3

f (x) = \frac{x + 4}{( x - 3 ) ( x + 4 )}

x^{4} - 3 x^{2}

f (x) = \frac{x - 4}{x}

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

y = - 3 x^{2} - 2 x + 5

What is the domain of (1-4t)/(3+t) ?
The domain of (1-4t)/(3+t) is t<-3\lor t>-3