Given $g(x)=-5 x+1$, find $g(1).

Substitute x = 1 into the function g ( x ) = − 5 x + 1 .
Calculate g ( 1 ) = − 5 ( 1 ) + 1 .
Simplify the expression: g ( 1 ) = − 5 + 1 .
The final answer is − 4 ​ .

Explanation

Understanding the problem We are given the function g ( x ) = − 5 x + 1 , and we want to find the value of g ( 1 ) . This means we need to substitute x = 1 into the expression for g ( x ) .

Substituting x = 1 To find g ( 1 ) , we replace x with 1 in the expression for g ( x ) : g ( 1 ) = − 5 ( 1 ) + 1

Simplifying the expression Now, we simplify the expression: g ( 1 ) = − 5 + 1 = − 4

Final Answer Therefore, the value of g ( 1 ) is − 4 .


Examples
In real life, functions like g(x) can model various scenarios. For example, imagine a store offers a $5 discount for each item purchased, plus a $1 initial fee. If you buy 1 item, the total cost can be represented by g(1) = -5(1) + 1 = -4. In this context, the negative value might represent a refund or credit. Understanding how to evaluate functions helps in predicting outcomes in such situations.

Answered by GinnyAnswer | 2025-07-03

To find g ( 1 ) from the function g ( x ) = − 5 x + 1 , substitute x = 1 into the equation. After simplifying the expression, we find that g ( 1 ) = − 4 . This evaluation illustrates how to determine the output of a linear function for a given input.
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Answered by Anonymous | 2025-07-04