Given $h(x)=-x-4$, find $h(3)$.

Substitute x = 3 into the function h ( x ) = − x − 4 .
Calculate h ( 3 ) = − ( 3 ) − 4 .
Simplify the expression to get h ( 3 ) = − 3 − 4 = − 7 .
The final answer is − 7 ​ .

Explanation

Understanding the problem We are given the function h ( x ) = − x − 4 , and we want to find the value of h ( 3 ) . This means we need to substitute x = 3 into the expression for h ( x ) .

Substitution Substitute x = 3 into the function: h ( 3 ) = − ( 3 ) − 4

Simplifying Now, simplify the expression: h ( 3 ) = − 3 − 4 = − 7


Examples
In real life, functions like h(x) can model various scenarios. For example, imagine you start with $0 and for every item you sell, you lose $1, and you also have an initial debt of $4. If you sell 3 items, your total financial status can be modeled by h(3) = -(3) - 4 = -$7. This shows how functions can represent real-world relationships and help in making predictions.

Answered by GinnyAnswer | 2025-07-03

To find h ( 3 ) , substitute x = 3 into the function h ( x ) = − x − 4 to get h ( 3 ) = − 3 − 4 = − 7 . Thus, the final answer is − 7 .
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Answered by Anonymous | 2025-07-04