Question

2
select the correct answer.
what is the domain of the function $f(x) = 2x + 5$?
a. all real numbers except 2
b. all real numbers
c. all real numbers except 5
d. all positive real numbers

Explanation:

Step1: Recall the definition of domain

The domain of a function is the set of all possible input values (x - values) for which the function is defined.

Step2: Analyze the function \( f(x)=2x + 5 \)

This is a linear function (in the form \( y=mx + b \), where \( m = 2 \) and \( b = 5 \)). Linear functions are defined for all real numbers because there are no restrictions on the input \( x \) (such as division by zero or taking the square root of a negative number, which would limit the domain). For any real number \( x \), we can calculate \( 2x+5 \) and get a real number output.

Answer:

B. all real numbers