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VikaD [51]
3 years ago
6

Complete the following: (2x +3y)^2 = (2x)^2+2(2x)(3y) +(____)^2

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

Complete function will be  (2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)

Step-by-step explanation:

We have given equation (2x+3y)^2=(2x)^2+2\times (2x)\times (3y)+..........^2

We have to find the function in place of blank space and complete the function

We know the algebraic equation (a+b)^2=a^2+b^2+2ab

So (2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)

So in place of blank pace there will be (3y)^2

And complete function will be  (2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)

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(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))
pentagon [3]

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

4 0
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