What is the domain of f(x)=(x+5)/(x^2-10x+25) ?

The domain of f(x)=(x+5)/(x^2-10x+25) is x 5

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domain of f(x)=(x+5)/(x^2-10x+25)

domain

f (x) = \frac{x + 5}{x ^{2} - 10 x + 25}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

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

f (x) = \frac{3}{2}

f (x) = 17 x

f (x) = x - 1

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

What is the domain of f(x)=(x+5)/(x^2-10x+25) ?
The domain of f(x)=(x+5)/(x^2-10x+25) is x<5\lor x>5