What is the domain of f(x)=(3x-4)/(7-x) ?

The domain of f(x)=(3x-4)/(7-x) is x 7

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domain of f(x)=(3x-4)/(7-x)

domain

f (x) = \frac{3 x - 4}{7 - x}

x < 7 or x > 7

Interval Notation

(- \infty, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7

The function domain

x < 7 or x > 7

arcsin (t)

48 x - 4 x^{2}

f (x) = \frac{9}{\frac{5}{x} - 1}

\frac{2 x ^{2} - 4 x}{x ^{2} + 4 x + 4}

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

What is the domain of f(x)=(3x-4)/(7-x) ?
The domain of f(x)=(3x-4)/(7-x) is x<7\lor x>7