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Which function defines (๐‘“รท๐‘”)โข(๐‘ฅ) ?๐‘“โก(๐‘ฅ)=(3.6)๐‘ฅ+2๐‘”โก(๐‘ฅ)=(3.6)3โข๐‘ฅ+1 A. (๐‘“รท๐‘”)โข(๐‘ฅ)=(3.6)-2โข๐‘ฅ+1 B. (๐‘“รท๐‘”)โข(๐‘ฅ)=(3.6)4โข๐‘ฅ+3 C. (๐‘“รท๐‘”)โข(๐‘ฅ)=(1.8)3โข๐‘ฅ2+7โข๐‘ฅ+2 D.

Question

Which function defines (๐‘“รท๐‘”)โข(๐‘ฅ) ?๐‘“โก(๐‘ฅ)=(3.6)๐‘ฅ+2๐‘”โก(๐‘ฅ)=(3.6)3โข๐‘ฅ+1 A. (๐‘“รท๐‘”)โข(๐‘ฅ)=(3.6)-2โข๐‘ฅ+1 B. (๐‘“รท๐‘”)โข(๐‘ฅ)=(3.6)4โข๐‘ฅ+3 C. (๐‘“รท๐‘”)โข(๐‘ฅ)=(1.8)3โข๐‘ฅ2+7โข๐‘ฅ+2 D.

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Solution

The function (๐‘“รท๐‘”)(๐‘ฅ) is defined as the ratio of the function ๐‘“(๐‘ฅ) to the function ๐‘”(๐‘ฅ).

Given ๐‘“(๐‘ฅ) = (3.6)๐‘ฅ + 2 and ๐‘”(๐‘ฅ) = (3.6)3๐‘ฅ + 1, we can find (๐‘“รท๐‘”)(๐‘ฅ) by dividing ๐‘“(๐‘ฅ) by ๐‘”(๐‘ฅ):

(๐‘“รท๐‘”)(๐‘ฅ) = [(3.6)๐‘ฅ + 2] / [(3.6)3๐‘ฅ + 1]

This is a complex rational function and cannot be simplified to a form like the options A, B, C, and D. Therefore, none of the given options correctly defines (๐‘“รท๐‘”)(๐‘ฅ).

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1/3

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