Math Problem Statement
Use the following function rule to find g(q–8). Simplify your answer. g(y)=y2–3y g(q–8)=
Solution
We are given the function rule:
To find , we substitute for in the expression for :
Now, let's simplify the expression.
-
Expand :
-
Expand :
Now, combine the two terms:
- Simplify by combining like terms:
Thus, the simplified expression for is:
Do you need further details on how to simplify this, or have any questions?
Here are some related questions you might find interesting:
- How do you expand a binomial square like ?
- How would the function change if the rule were ?
- What would happen if we wanted to find instead?
- Can this method be applied to higher-degree polynomials, like ?
- How do we find the value of if ?
Tip: When substituting into a function, always carefully expand and combine like terms to simplify your answer!
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Notation
Simplifying Expressions
Quadratic Expressions
Formulas
g(y) = y^2 - 3y
Theorems
Binomial Expansion
Suitable Grade Level
Grades 8-10