Let's analyze the given function and the options provided to find the correct answer.
The given function is:
[tex]\[ f(x) = 2x - 1 + 3 \][/tex]
Let's simplify this expression:
1. Combine the like terms:
[tex]\[ 2x - 1 + 3 = 2x + 2 \][/tex]
Now, we need to determine the common characteristic or condition that fits the simplified function.
Next, we review the options given:
A. [tex]\( |x| x = 2 \)[/tex]
B. [tex]\( |x| x = 1 \)[/tex]
C. [tex]\( |x| x \leq -1 \)[/tex]
D. [tex]\( (x) x = \text{ai ncal narnsainil} \)[/tex]
From the simplified expression [tex]\( f(x) = 2x + 2 \)[/tex], we need to see which option correctly describes the function in some way.
Looking at the correct answer based on our analysis, we can see option D could be interpreted differently. However, if we evaluate the options more deeply:
- Option A ([tex]\( |x| x = 2 \)[/tex]) does not directly relate to the simplified form [tex]\( 2x + 2 \)[/tex].
- Option B ([tex]\( |x| x = 1 \)[/tex]) also does not fit [tex]\( 2x + 2 \)[/tex].
- Option C ([tex]\( |x| x \leq -1 \)[/tex]) is an inequality statement about [tex]\( x \)[/tex], not directly matching [tex]\( 2x + 2 \)[/tex].
Thus, through process of elimination and understanding the options, D seems correct in the context given.
Therefore, the correct option is:
[tex]\[ (x) x = \text{ai ncal narnsainil} \][/tex]
So, the correct answer is D.
