What is the domain of f(x)=1+(9x-70)/(x^2-15x+56) ?

The domain of f(x)=1+(9x-70)/(x^2-15x+56) is x 8

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domain of f(x)=1+(9x-70)/(x^2-15x+56)

domain

f (x) = 1 + \frac{9 x - 70}{x ^{2} - 15 x + 56}

x < 7 or 7 < x < 8 or x > 8

Interval Notation

(- \infty, 7) \cup (7, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = 7

The function domain

x < 7 or 7 < x < 8 or x > 8

What is the domain of f(x)=1+(9x-70)/(x^2-15x+56) ?
The domain of f(x)=1+(9x-70)/(x^2-15x+56) is x<7\lor 7<x<8\lor x>8