show all the steps it took to get your answer.
let f(x) = -2x+4 and g(x)=3x+1
a) Find f(x)*g(x)
To find f(x)*g(x), we need to first find the product of f(x) and g(x).
f(x) = -2x + 4
g(x) = 3x + 1
Now, to find the product:
f(x)*g(x) = (-2x + 4)*(3x + 1)
Next, we distribute:
f(x)*g(x) = -2x*3x - 2x*1 + 4*3x + 4*1
f(x)*g(x) = -6x^2 - 2x + 12x + 4
f(x)*g(x) = -6x^2 + 10x + 4
Therefore, f(x)*g(x) = -6x^2 + 10x + 4.