Respuesta :

rabinshrestha41
[tex]f(x)= \frac{3x+2}{2x-10}[/tex]

Since we can't have a 0 in the denominator, 

[tex]2x-10 \neq 0\\2x \neq 10\\x \neq 5[/tex]

Also, in the graph ...you can see that the function approaches x=5 but never actually reaches it. 

∴The value of x that don't lie in the domain of the function is 5
Ver imagen rabinshrestha41

Using the concept of domain, it is found x = 5 does not lie in the domain of the function, as it makes the denominator zero.

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  • The domain of a function is the set that contains all possible values for the input.
  • The function given is:

[tex]f(x) = \frac{3x + 2}{2x - 10}[/tex]

  • It is a fraction, in which the denominator cannot be zero.

[tex]2x - 10 = 0 \rightarrow 2x = 10 \rightarrow x = 5[/tex]

  • Thus, x = 5 does not lie in the domain of the function, as it makes the denominator zero.

A similar problem is given at https://brainly.com/question/13136492

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