Consider the function f(x)=(8-x)/(x+9)+2 Algebraically determine the domain and all of the intercepts.

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11-11-2016
Mathematics

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Consider the function f(x)=(8-x)/(x+9)+2 Algebraically determine the domain and all of the intercepts.

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-11-16T13:42:06+01:00

nobillionaireNobley nobillionaireNobley

16-11-2016

f(x) = (8 - x)/(x + 9) + 2
The domain is all real numbers except -9.

The x-intercepts are the values of x for which y = 0.
0 = 8 - x + 2(x + 9) = 8 - x + 2x + 18 = x + 26
x = -26

The y-intercepts are the values of f(x) for which x = 0
f(x) = 8/9 + 2 = 2 8/9

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