Question

Multiply. State any excluded values. Simplify your answer. Type your answer in factored form.

Answer 1

Multiplication:

`(f(x))/(g(x))\cdot(h(x))/(j(x))=(f(x)h(x))/(g(x)j(x))`

For the given functions:

`\begin{gathered} (x)/(x-7)\cdot(x-2)/(x-3)=(x(x-2))/((x-7)(x-3)) \\ \end{gathered}`

The expression cannot be simplified and is already written in factored form.

The exclude values are those that make the denominator be equal to zero: 7,3

`\begin{gathered} (x-7)(x-3)=0 \\ \\ x-7=0 \\ z=7 \\ \\ x-3=0 \\ x=3 \end{gathered}`