Question

Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x).

Answer 1

For this case we have the following functions:

$f (x) = x + 7\\g (x) = x-4$

We must find the product of the functions:

$f (x) * g (x) = (x + 7) (x-4)$

We apply distributive property:

$f (x) * g (x) = x ^ 2-4x + 7x-28\\f (x) * g (x) = x ^ 2 + 3x-28$

Finally, the product of the functions is:

$x ^ 2 + 3x-28$

Answer:

$x ^ 2 + 3x-28$