In this worksheet, we will practice multiplying and dividing rational functions.
Q1:
Simplify the function ๐(๐ฅ)=2๐ฅ+2ร๐ฅ+6๐ฅ+82๐ฅ๏จ, and determine its domain.
Q2:
Given that ๐(๐ฅ)=๐ฅ+9๐ฅโ6๏ง, ๐(๐ฅ)=9๐ฅ+81๐ฅโ6๏จ, and ๐(๐ฅ)=๐(๐ฅ)รท๐(๐ฅ)๏ง๏จ, identify the domain of ๐(๐ฅ).
Q3:
Simplify the function ๐(๐ฅ)=๐ฅ+5๐ฅ+9๐ฅ+20ร๐ฅ+15๐ฅ+547๐ฅ+69๐ฅ+54๏จ๏จ๏จ, and determine its domain.
Q4:
Determine the domain of the function ๐(๐ฅ)=๐ฅโ๐ฅโ6๐ฅโ4รท2๐ฅโ6๐ฅโ4๐ฅ+4๏จ๏จ๏จ.
Q5:
Determine the domain of the function ๐(๐ฅ)=3๐ฅโ15๐ฅโ6รท6๐ฅโ304๐ฅโ24.
Q6:
Given the function ๐(๐ฅ)=๐ฅโ6๐ฅโ15๐ฅ+54ร๐ฅโ3๐ฅโ282๐ฅโ15๐ฅ+7๏จ๏จ๏จ, evaluate ๐(7), if possible.
Q7:
Simplify the function ๐(๐ฅ)=9๐ฅ+72๐ฅ+1รท9๐ฅ+725๐ฅ+5, and determine its domain.
Q8:
Simplify the function ๐(๐ฅ)=๐ฅ+3432๐ฅ+14๐ฅร๐ฅ+3๐ฅโ7๐ฅ+49๏ฉ๏จ๏จ, and determine its domain.
Q9:
Simplify the function ๐(๐ฅ)=๐ฅ+16๐ฅ+64๐ฅ+8๐ฅร7๐ฅโ5664โ๐ฅ๏จ๏จ๏จ, and determine its domain.
Q10:
Given that ๐(๐ฅ)=๐ฅ+9๐ฅ+14๐ฅโ4รท๐ฅโ49๐ฅโ2๐ฅ๏จ๏จ๏จ๏จ and ๐(๐)=4, find the value of ๐.
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