Respuesta :

Adding Functions

Example:

[tex](f+g)(x)=f(x)+g(x)[/tex]

To add this, we can substitute in the functions and combine like terms.

Solving the Question

We're given:

  • [tex]k(x)=5x-6[/tex]
  • [tex](k+k)(4)=?[/tex]

Add k to k:

[tex](k+k)(x) = k(x)+k(x)\\(k+k)(x) = 5x-6+5x-6\\(k+k)(x) = 10x-12[/tex]

Input x as 4:

[tex](k+k)(4) = 10x-12\\(k+k)(4) = 10(4)-12\\(k+k)(4) = 40-12\\(k+k)(4) = 28[/tex]

Answer

[tex](k+k)(4)=28[/tex]

(k+k)(4) is equivalent to 28.

What is function ?

If we have two non-empty sets X & Y, then each element of X is relative to at least one element of Y. This relation between elements of two sets is called function.

Addition of two functions : If f(x) & g(x) be two functions, then

(f+g)(x) = f(x)+g(x)

What is the required result ?

Given, k(x) = 5x-6

Now, Adding function k with k we get,

(k+k)(x) = k(x)+k(x)

           = (5x-6)+(5x-6)

           = 5x-6+5x-6

           = 10x-12

We have to find, (k+k)(4)

∴  (k+k)(4) = (10×4)-12

                = 40-12

                = 28

Learn more about function adding here :

https://brainly.com/question/22669431

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