Answer
$2x^{2}-5x+3$
Work Step by Step
We are given that $f(x)=x-1$ and $g(x)=2x-3$. We know that $(f\times g)(x)=f(x)\times g(x)$.
Therefore, $(f\times g)(x)=f(x)\times g(x)=(x-1)(2x-3)$.
We can use the FOIL method to simplify.
F=$x\times 2x=2x^{2}$
O=$x\times-3=-3x$
I= $-1\times2x=-2x$
L=$-1\times-3=3$
Next, we can add these terms together.
$(2x^{2})+(-3x)+(-2x)+(3)=2x^{2}-5x+3$
