Web Analytics

Verified Answer :

rabinshrestha41

\(f(x)= \frac{3x+2}{2x-10}\)

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

\(2x-10 eq 0\\2x eq 10\\x eq 5\)

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

View image 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.

---------------------

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

\(f(x) = \frac{3x + 2}{2x - 10}\)

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

\(2x - 10 = 0 \rightarrow 2x = 10 \rightarrow x = 5\)

  • 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

Related Questions