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

\frac{3 - x ^{2}}{x ^{2} + 4 x - 45}

f (x) = x^{2} - 10 x + 21

f (x) = x^{4} + 18 x^{2} + 81

f (X) = lo g_{3} (\frac{1}{9})

\frac{x ^{2} - 5 x + 4}{x + 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