Respuesta :
Answer:
The answer is [tex]4x^3-29x^2+10x-21[/tex]
Step-by-step explanation:
In order to determine the answer, we have to know what it means (t*s)(x).
When we need to multiply two functions, where y(x) and z(x) are the functions, we can describe the process with the notation (y*z) (x). This notation means that the function y(x) is being multiplying by the function z(x).
So, in this case, we have two functions:
[tex]s(x)=x-7\\t(x)=4x^2-x+3[/tex]
Multiplying both functions (t*s) (x):
[tex](t*s)(x)=t(x)*s(x)\\(4x^2-x+3)(x-7)\\4x^3-28x^2-x^2+7x+3x-21\\4x^3-29x^2+10x-21[/tex]
Finally, the expression is:
[tex]4x^3-29x^2+10x-21[/tex]
