Respuesta :

Answer:

[tex]x=\frac{-5}{2}[/tex] is the value excluded from domain.

Ad range will be all real numbers.

Step-by-step explanation:

We have been given a function:

[tex]f(x)=\frac{x+3}{2x+5}[/tex]

Domain are the values x will take and range are the values that y will have.

And function should remain defined it should not be undefined.

We know that function becomes undefined if denominator becomes zero.

At [tex]x=\frac{-5}{2}[/tex] function becomes undefined therefore

[tex]x=\frac{-5}{2}[/tex] is the value excluded from domain.

Ad range will be all real numbers.

The domain of the function will be Real except for negative 5/2. Then the range of the function will be a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = (x + 3) / (2x + 5)

The function is not defined at 2x + 5 = 0,

Then we have

2x = - 5

 x = - 5/2

Then the domain of the function will be Real except for negative 5/2.

The range of the function will be a real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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