Math Problem Statement
The functions f and g are defined as follows: f(x) = 3x^3 + 5 and g(x) = 4x - 1. Find f(-4) and g(-7). Simplify your answers as much as possible.
Solution
The image contains two functions: The problem asks to evaluate:
Let's start by calculating both values.
For :
For :
Thus, the results are:
Would you like more details on these calculations?
Here are some related questions:
- How do you evaluate a cubic function?
- What are common transformations of cubic functions?
- What happens if you input positive values for ?
- How does the slope of affect its graph?
- What is the difference between linear and cubic functions?
Tip: Always simplify the powers and products first when evaluating functions with exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Evaluation
Cubic Functions
Linear Functions
Formulas
f(x) = 3x^3 + 5
g(x) = 4x - 1
Theorems
-
Suitable Grade Level
Grades 9-12