Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
k(x) = 2x² − 7
p(x) = x − 4
As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,
[tex](k \cdot p)(x) = k(x) \cdot p(x)[/tex]
therefore,
[tex]k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28[/tex]
Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
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