What is the domain of (5x-4)/((x-7)^2) ?

The domain of (5x-4)/((x-7)^2) is x 7

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domain of (5x-4)/((x-7)^2)

domain

\frac{5 x - 4}{( x - 7 ) ^{2}}

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

f (x) = \frac{6 x ^{2} + 7}{8 x + 6}

y = \frac{x ^{2} + 6 x - 7}{x ^{2} + 25}

f (x) = x^{4} - 200 x^{2} + 10000

y = x + 6

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 1

What is the domain of (5x-4)/((x-7)^2) ?
The domain of (5x-4)/((x-7)^2) is x<7\lor x>7