Math Problem Statement
Solution
To solve this problem, we need to calculate the values of and and then compare them.
Given:
We substitute into both functions:
-
Calculate :
-
Calculate :
Now we compare and :
Since , we have:
Conclusion:
The correct answer is:
Would you like to explore more details or have any further questions?
Related Questions:
- How do you compute values for other functions when given specific inputs?
- What are exponential functions, and why do they grow faster than linear functions?
- How can you find the intersection point of two functions graphically and algebraically?
- What is the significance of comparing functions at a particular point?
- How does the base of an exponential function affect its growth rate?
Tip:
Exponential functions grow much faster than linear functions as the input value increases.
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Math Problem Analysis
Mathematical Concepts
Functions
Linear Functions
Exponential Functions
Formulas
f(x) = 5x
g(x) = 4^x
Theorems
Comparison of linear and exponential functions
Suitable Grade Level
Grades 9-12
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