Question

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

Answer 1

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:

$x ^ 2 + 8x-33$

Answer 2

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