Math Problem Statement
Find (f o g)(4) when f(x) = -3x - 4 and g(x) = 2x^2 - 2x + 7.
Solution
The question asks to find , where:
We are asked to first calculate and then plug the result into .
Step 1: Calculate
Using the function :
Step 2: Calculate
Now, using , we plug in :
Thus, .
The correct answer is D. -97.
Would you like more details on any part of this solution?
Related Questions:
- What is the domain of ?
- Can you find using the same functions?
- How do the graphs of and differ?
- What is the range of given the domain ?
- How would the composition change if was a linear function?
Tip:
When solving function compositions, always start by evaluating the innermost function first before substituting its result into 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
Quadratic Functions
Linear Functions
Formulas
g(x) = 2x^2 - 2x + 7
f(x) = -3x - 4
Theorems
-
Suitable Grade Level
Grades 9-12