Given g(x) = -2x - 1, find g(-1).
Understand the Problem
The question is asking to evaluate the function g(x) at x = -1 given the function g(x) = -2x - 1. To solve this, we will substitute -1 into the function and simplify the expression.
Answer
The value of \( g(-1) \) is \( 1 \).
Answer for screen readers
The final answer is ( 1 ).
Steps to Solve
-
Substituting -1 into the function
We start by substituting ( x = -1 ) into the function ( g(x) = -2x - 1 ).
Thus, we have:
$$ g(-1) = -2(-1) - 1 $$ -
Calculating the expression
Now, we simplify the expression:
Multiply (-2) by (-1):
$$ g(-1) = 2 - 1 $$ -
Final Calculation
Finally, subtract ( 1 ) from ( 2 ):
$$ g(-1) = 1 $$
The final answer is ( 1 ).
More Information
This function is linear, defined as ( g(x) = -2x - 1 ), meaning it creates a straight line when graphed. The value of ( g(-1) = 1 ) indicates the output of the function at that specific input.
Tips
- Forgetting to follow the order of operations can lead to errors. Always perform multiplication before addition or subtraction.
- Misplacing the negative sign when substituting values or simplifying can cause incorrect results.
AI-generated content may contain errors. Please verify critical information
