What is the inverse of the function ƒ(x) = ex?

  • Thread starter Thread starter livestrong136
  • Start date Start date
  • Tags Tags
    Function Inverse
Click For Summary
SUMMARY

The inverse of the function ƒ(x) = e^x is ƒ⁻¹(x) = ln(x), where ln denotes the natural logarithm. The limit lim (e^(x+h) - e^x)/h as h approaches 0 evaluates to e^x, which is derived from the definition of the derivative of the exponential function. The discussion emphasizes the importance of understanding these concepts rather than seeking direct answers, adhering to academic integrity guidelines.

PREREQUISITES
  • Understanding of exponential functions and their properties
  • Knowledge of natural logarithms and their inverses
  • Familiarity with limits and derivatives in calculus
  • Basic algebra skills for manipulating expressions
NEXT STEPS
  • Study the properties of the natural logarithm and its applications
  • Learn about the derivative of exponential functions using the limit definition
  • Explore the concept of limits in calculus, focusing on L'Hôpital's Rule
  • Review the rules of academic integrity in mathematics education
USEFUL FOR

Students in calculus, educators teaching exponential functions, and anyone looking to deepen their understanding of limits and derivatives in mathematics.

livestrong136
Messages
25
Reaction score
0
2 very quick questions?? help needed asap

1. What is the inverse of the function ƒ(x) = ex?

I think its 0? what do you guys think.

2. What is the lim (e^(x+h) - e^x)/h

This one i tried and got a really weird answer can someone just give me just the answer??
 
Physics news on Phys.org


livestrong136 said:
can someone just give me just the answer??

No..
 


livestrong136 said:
1. What is the inverse of the function ƒ(x) = ex?

I think its 0? what do you guys think.
There is no function whose inverse is the zero function. Also, is the formula f(x) = ex or f(x) = ex? Your second question makes me think it might be the latter.
livestrong136 said:
2. What is the lim (e^(x+h) - e^x)/h

This one i tried and got a really weird answer can someone just give me just the answer??
As micromass already said, no we won't just give you the answer - this goes against the rules. To see the rules, click the Rules button near the top of the window and look at the section titled "Homework Help."
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
8
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
7
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K