Question

Let f(x) = x − 3 and g(x) = x + 11.Find f(x) ⋅ g(x)

Answer 1

Answer:
`f(x).g(x)=x^2+8x-33.`

Step-by-step explanation: We are given the following two functions ;

`f(x)=x-3,~~~~~~~~g(x)=x+11.`

We are to find the value of
`f(x).g(x).`

To find the required expression, we need to multiply the expressions for both the functions f(x) and g(x).

therefore, we get

`f(x).g(x)\\\\=(x-3).(x+11)\\\\=x(x+11)-3(x+11)\\\\=x^2+11x-3x-33\\\\=x^2+8x-33.`

Thus,
`f(x).g(x)=x^2+8x-33.`

Answer 2

For this case we have the following functions:

`f (x) = x-3\\g (x) = x + 11`

We must find the product of the functions:

`f (x) * g (x) = (x-3) (x + 11)`

We apply distributive property, which states:

`(a + b) (c + d) = ac + ad + bc + bd`

So:

`f (x) * g (x) = x ^ 2 + 11x-3x-33 = x ^ 2 + 8x-33`

Answer:

`x ^ 2 + 8x-33`