Math Problem Statement
Use the function values for f and g shown in the table to evaluate (f ∘ g)(-1).
Solution
The given problem asks to evaluate , which represents the composition of the functions and , evaluated at .
Steps to solve:
-
Find :
From the table, look at the value of when .
-
Find :
Now that we know , we need to find . Look at the value of when .
Thus, .
The final answer is 9.
Would you like any further details or explanations on this process?
Here are 5 related questions:
- How do we evaluate a composition of two functions in general?
- What happens when we reverse the composition, i.e., ?
- What is the domain of a composite function?
- How does function composition differ from simple multiplication of functions?
- Can a composite function be undefined? Under what conditions?
Tip: When dealing with composite functions, always evaluate the inner function first, then use its result to evaluate the outer function.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Function Composition
Algebra
Formulas
(f ∘ g)(x) = f(g(x))
Theorems
Function Composition Rule
Suitable Grade Level
Grades 9-12