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Someone help me please and thank you!! ASAP :(

Someone help me please and thank you!! ASAP :(-example-1
User AirLancer
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1 Answer

5 votes

Answer: Choice D)

Work Shown:


(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = (x-23)/(x^2+9x-36)+(1)/(x+12)\\\\(f+g)(x) = (x-23)/((x+12)(x-3))+(1(x-3))/((x+12)(x-3))\\\\(f+g)(x) = (x-23+1(x-3))/((x+12)(x-3))\\\\(f+g)(x) = (x-23+x-3)/(x^2+9x-36)\\\\(f+g)(x) = (2x-26)/(x^2+9x-36)\\\\

We must require that
x \\e -12 and
x \\e 3 to avoid having 0 in the denominator. This is why choice D is the answer.

User Holland Risley
by
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