For this case we have the following functions:
[tex]f (x) = x + 7\\g (x) = x-4[/tex]
We must find the product of the functions:
[tex]f (x) * g (x) = (x + 7) (x-4)[/tex]
We apply distributive property:
[tex]f (x) * g (x) = x ^ 2-4x + 7x-28\\f (x) * g (x) = x ^ 2 + 3x-28[/tex]
Finally, the product of the functions is:
[tex]x ^ 2 + 3x-28[/tex]
Answer:
[tex]x ^ 2 + 3x-28[/tex]
