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Artist 52 [7]
3 years ago
7

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

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

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

ioda3 years ago
6 0

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.

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