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Dovator [93]
2 years ago
8

(F x G)(x) F(G(x)) G[F(x)] F[G(x)] G(F(x))

Mathematics
1 answer:
pentagon [3]2 years ago
4 0

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

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