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## Homework Statement

Define the inner product of two polynomials, f(x) and g(x) to be

< f | g > = ∫-11 dx f(x) g(x)

Let f(x) = 3 - x +4 x2.

Determine the inner products, < f | f1 >, < f | f2 > and < f | f3 >, where

f1(x) = 1/2 ,

f2(x) = 3x/2

and

f3(x) = 5(1 - 3 x2)/4

Expressed as a column vector these inner products are given by?

Can anyone help me understand this question, what is the point of g(x)? any help on approach would be helpful