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Use the graph that shows the solution to f(x)=g(x).

f(x)=1/x−2

g(x)=x−2



What is the solution to f(x)=g(x)?

Select each correct answer.



−1

1

2

3

Respuesta :

The solution to the system of equations is given as follows:

x = 1 and x = 3.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the two equations are:

[tex]\frac{1}{x - 2} = x - 2[/tex]

Applying cross multiplication:

(x - 2)(x - 2) = 1

x² - 4x + 4 = 1

x² - 4x + 3 = 0

(x - 1)(x - 3) = 0

Hence the solutions are:

  • x - 1 = 0 -> x = 1.
  • x - 3 = 0 -> x = 3.

More can be learned about a system of equations at https://brainly.com/question/24342899

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