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  • Question: In the xy plane, the graph of the rational function f has a vertical asymptote at x=4. Which of the following expressions could define f(x) ? (z+1)2(4−z)3(x+1)2(z−4)2 (x+1)2(4−x)2(x+1)3(x−4)3 (x+1)1(4−x)4(x+1)3(x−4)2 (D) (4x+4)2(4+x)2(x+1)2(r−4)2


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    Step 1

    for option (A) f(x)=(x+1)2(x−4)2(x+1)2(4−z)3

    f(x)=(x−4)2(4−z)3

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Transcribed image text:
In the xy plane, the graph of the rational function f has a vertical asymptote at x=4. Which of the following expressions could define f(x) ? (z+1)2(4−z)3(x+1)2(z−4)2​ (x+1)2(4−x)2(x+1)3(x−4)3​ (x+1)1(4−x)4(x+1)3(x−4)2​ (D) (4x+4)2(4+x)2(x+1)2(r−4)2​