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

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

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

domain

f (x) = \frac{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

y = - 9 x^{2}

f (x) = \frac{x - 3}{x - 1}

f (x) = - 2 x^{2} + 8 x - 7

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

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

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