Math Problem Statement
quotient of function, formula (f/g)(x) = f(x)/g(x), f(x) = x+3 and g(x) = 2x-5
Solution
To find the quotient of the functions and using the formula:
Given:
Substitute these into the formula:
So, the quotient of the functions is:
Would you like further details or have any questions?
Here are 5 related questions for further practice:
- What is the domain of the function ?
- How does the quotient of functions change if ?
- Calculate for the given functions and .
- What is the vertical asymptote of the function ?
- Simplify the expression if and .
Tip:
Always check the domain of the resulting function when dividing two functions, as the denominator must not be zero.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Rational Expressions
Formulas
Quotient of functions formula (f/g)(x) = f(x) / g(x)
Theorems
Division of functions
Domain restrictions of rational functions
Suitable Grade Level
Grades 9-11
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