Math Problem Statement
if h(s)=(3s+6)/(s-A);h(2)=-2, solve for A
Solution
Given the function , and knowing that , we need to solve for .
First, substitute into the function:
Simplify the expression:
Now, solve for . First, multiply both sides by to eliminate the denominator:
Expand the right side:
Now, solve for :
Thus, .
Would you like further details or explanations?
Here are five related questions:
- What happens if in the function ?
- How would the graph of change as increases?
- What is the domain of when ?
- Can you find if given ?
- What is the horizontal asymptote of ?
Tip: When solving for constants, multiplying to eliminate fractions is an effective first step to simplify the equation.
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Math Problem Analysis
Mathematical Concepts
Functions
Equations
Algebra
Formulas
Function evaluation
Solving equations
Theorems
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Suitable Grade Level
Grades 9-12