Respuesta :
Answer:
All real numbers
Step-by-step explanation:
f(x) is a polynomial and is well defined for all real values of x
Domain is x ∈ R
The domain of the function[tex]$f(x)=x^{2}+3 x+5$[/tex] is (D). All real numbers
Domain of function
- The domain of a function exists as the set of all possible inputs for the function.
- A function with a fraction with a variable in the denominator. To discover the domain of this kind of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.
It is provided that,
[tex]$f(x)=x^{2}+3 x+5$[/tex]
This exists as the equation of a vertical parabola opens upward.
The vertex exists at a minimum
utilizing a graphing tool
The vertex is the point (-1.5,2.75)
The range is the interval -------> [2.75.∞)
[tex]y \geq 2.75[/tex] ------->All real numbers greater than or equal to 2.75
The domain is the interval -------> (-∞,∞) -----> All real numbers
Hence, The domain of the function[tex]$f(x)=x^{2}+3 x+5$[/tex] is (D). All real numbers.
To learn more about the Domain of function refer to:
https://brainly.com/question/13856645
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