Respuesta :

The completed steps in order to write the inverse of function f(x) are listed below.

  • 1. y= x+ 5
  • 2. x= y+ 5
  • 3. x-5= y
  • 4. y= x – 5.

What is the inverse of a function?

The inverse of a function is the reverse of the original function. The function and the inverse of it has symmetry in each other.

The function given in the problem is,

[tex]f(x) = x +5[/tex]

Rewrite this function as,

[tex]y= x +5[/tex]

Follow the steps in order to write the inverse of the provided function.

  • Step 1) Interchange the places of x and y.

[tex]x= y+5[/tex]

  • Step 2) Subtract from both the sides of the above equation,

[tex]x-5= y+5-5\\x-5=y[/tex]

  • Step 3) Rewrite the equation,

[tex]y=x-5[/tex]

This is the required inverse function of the given function.

Hence, the completed steps in order to write the inverse of function f(x) are listed below.

  • 1. y= x+ 5
  • 2. x= y+ 5
  • 3. x-5= y
  • 4. y= x – 5.

Learn more about the inverse of a function here;

https://brainly.com/question/4101635

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Answer:

1. y= x+ 5

2. x= y+ 5

3. x-5= y

4. g(x) = x – 5.

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