What is the domain of f(x)=(x-7)/(x^2-14x+49) ?

The domain of f(x)=(x-7)/(x^2-14x+49) is x 7

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domain of f(x)=(x-7)/(x^2-14x+49)

domain

f (x) = \frac{x - 7}{x ^{2} - 14 x + 49}

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

h (x) = 5 - x

- 10 x + 1100

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

6 + 6 x

f (x) = 3 x^{2} - 4 - 5 x - 2

What is the domain of f(x)=(x-7)/(x^2-14x+49) ?
The domain of f(x)=(x-7)/(x^2-14x+49) is x<7\lor x>7