Math Problem Statement
Determine g(x+a)−g(x) for the following function.
g(x)=4x2−4
Solution
To determine for the given function , we need to follow these steps:
- Compute : Substitute into the function:
Expand the squared term:
So,
- Subtract from :
Simplify by canceling like terms:
Final Answer:
Would you like further details on any step, or have any questions?
Related Questions:
- How would you solve for given the same function?
- What is the derivative of ?
- How can you interpret the result in terms of algebraic functions?
- How would the expression change if ?
- What is the second derivative of ?
Tip:
Always double-check the expansion of squared binomials to avoid common algebraic mistakes!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Function Differences
Formulas
g(x) = 4x^2 - 4
(x + a)^2 = x^2 + 2ax + a^2
Theorems
Binomial Expansion
Suitable Grade Level
Grades 9-12