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Verify that S and T are inverses. S: P P defined by S(a + bx) = (-4a + b) + 2ax and T: P

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Verify that S and T are inverses. S: P P defined by S(a + bx) = (-4a + b) + 2ax and T: P P defined by T(a + bx)=b/2 + (a + 2b)x. We must verify that S o T = 1p and To S=1p (So T)(a + bx) = (To S)(a + bx)= Thus, (So T)(a + bx) = (To S)(a + bx) = for any a + bx E P so both compositions are the identity and we are c

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