What is the domain of f(x)=((2x-10))/((x^2-8x+15)) ?

The domain of f(x)=((2x-10))/((x^2-8x+15)) is x 5

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domain of f(x)=((2x-10))/((x^2-8x+15))

domain

f (x) = \frac{( 2 x - 10 )}{( x ^{2} - 8 x + 15 )}

x < 3 or 3 < x < 5 or x > 5

Interval Notation

(- \infty, 3) \cup (3, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 3

The function domain

x < 3 or 3 < x < 5 or x > 5

3 x^{2} - 4

20 t - 5 t^{2}

- 7 x + 8

f (x) = - x + 16

f (x) = \frac{2 x + 1}{3}

What is the domain of f(x)=((2x-10))/((x^2-8x+15)) ?
The domain of f(x)=((2x-10))/((x^2-8x+15)) is x<3\lor 3<x<5\lor x>5