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Find (rs)(x)(r \circ s)(x).\newliner(x) = 33x\newlines(x) = 22x + 55\newlineWrite your answer as a polynomial in simplest form.\newline(rs)(x)=(r \circ s)(x) = ____

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Q. Find (rs)(x)(r \circ s)(x).\newliner(x) = 33x\newlines(x) = 22x + 55\newlineWrite your answer as a polynomial in simplest form.\newline(rs)(x)=(r \circ s)(x) = ____
  1. Plug in 2x+52x + 5: (rs)(x)=r(s(x))=r(2x+5)(r \circ s)(x) = r(s(x)) = r(2x + 5). Now we plug in 2x+52x + 5 into r(x)r(x) where xx is.
  2. Distribute 33 to terms: r(2x+5)=3(2x+5)r(2x + 5) = 3(2x + 5). We distribute the 33 to both terms inside the parentheses.
  3. Simplify the polynomial: 3(2x)+3(5)=6x+153(2x) + 3(5) = 6x + 15.\newlineThis is the simplified form of the polynomial.

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