Final answer:
To find h(8y-3), you replace x with (8y-3) in the function rule h(x)=7x, which simplifies to h(8y-3) = 56y - 21.
Step-by-step explanation:
To find h(8y–3) using the function rule h(x)=7x, we need to replace the variable x with the expression (8y–3) in the function rule. This process is known as evaluating the function for a given input. Here's how it's done step by step:
- Identify the given function rule: h(x)=7x.
- Replace x with (8y–3) in the function rule to get h(8y–3)=7(8y–3).
- Simplify the expression: h(8y–3) = 56y – 21.
The simplified expression for h(8y–3) is 56y – 21.