Problem

Given the operations on functions f(x) = 3x^2 - 4x + 2 and g(x) = 2x - 1, find the value of (f*g)(2).

Answer

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Answer

Then, substitute x = 2 into the result, we get (f*g)(2) = 6*2^3 - 14*2^2 + 12*2 - 2.

Steps

Step 1 ：First, we need to find the product of the two functions f(x) and g(x), which is represented as (f*g)(x).

Step 2 ：So, (f*g)(x) = f(x) * g(x) = (3x^2 - 4x + 2) * (2x - 1) = 6x^3 - 8x^2 + 4x - 6x^2 + 8x - 2 = 6x^3 - 14x^2 + 12x - 2.

Step 3 ：Then, substitute x = 2 into the result, we get (f*g)(2) = 6*2^3 - 14*2^2 + 12*2 - 2.

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