Let p be a polynomial on [a, b] and why is invertible. Then, prove that po...

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Let p be a polynomial on [a, b] and why is invertible. Then, prove that po : [0,1] [a, b] given by (x) = a + (b a)x. First, explain - is a polynomial on [a, b]. Let p be a polynomial on [a, b] and why is invertible. Then, prove that po : [0,1] [a, b] given by (x) = a + (b a)x. First, explain - is a polynomial on [a, b].