Question

For the functions f(x)=−7x+3 and g(x)=3x2−4x−1, find (f⋅g)(x) and (f⋅g)(1).

Answer 1

To find (f⋅g)(x), multiply f(x) and g(x) together. To find (f⋅g)(1), substitute x=1 into the expression.

Step-by-step explanation:

To find the product of two functions, we multiply the two functions together.

So, to find (f⋅g)(x), we multiply f(x) and g(x).

(f⋅g)(x) = f(x) * g(x) = (-7x+3) * (3x^2-4x-1) = -21x^3 +31x^2 +21x -3

To find (f⋅g)(1), we substitute x=1 into the expression we found above.

(f⋅g)(1) = -21(1)^3 + 31(1)^2 + 21(1) - 3 = -21 + 31 + 21 -3 = 28