[tex]h(x) =8x^3-19x^2+14x-3[/tex]
Step-by-step explanation:
Given functions are:
[tex]f(x) = 8x-3\\g(x) = (x-1)^2[/tex]
h(x) is the product of g(x) and f(x)
[tex]h(x) = f(x) * g(x)\\= (8x-3)(x-1)^2\\= (8x-3)(x^2-2x+1)\\= 8x(x^2-2x+1)-3(x^2-2x+1)\\= 8x^3-16x^2+8x-3x^2+6x-3[/tex]
Combining like terms
[tex]=8x^3-16x^2-3x^2+8x+6x-3\\=8x^3-19x^2+14x-3[/tex]
Hence,
[tex]h(x) =8x^3-19x^2+14x-3[/tex]
Keywords: Functions, product
Learn more about functions at:
- brainly.com/question/8054589
- brainly.com/question/7932185
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