Math Problem Statement
f(x)=x^2-5x+6 g(x)=x-3 find (f/g)
Solution
To find , we divide by . The given functions are:
Now, we compute:
We can simplify this by factoring the numerator :
Thus, we get:
For , the terms cancel out, and we are left with:
So, the simplified function is:
Would you like further details or explanations?
Here are 5 related questions to expand on this:
- What happens to the function when ?
- How do you factor other quadratic expressions like ?
- What is the domain of the function ?
- Can you graph the function and explain its key features?
- How do you apply division of functions to real-life scenarios?
Tip: Always check for undefined points (like here) when dividing functions!
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Functions
Factoring Quadratic Expressions
Domain of Functions
Formulas
f(x) = x^2 - 5x + 6
g(x) = x - 3
(f/g)(x) = f(x)/g(x)
Theorems
Factoring Theorem
Simplification of Rational Expressions
Suitable Grade Level
Grades 9-10
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