Question
Show that $f(x)=\ln \left(\frac{1-x}{1+x}\right)$ is an odd function.
Step 1
An odd function is a function that satisfies the condition $f(-x) = -f(x)$ for all $x$ in the domain of $f$. Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 74 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine whether $f$ is an even function, an odd function, or neither. $$ f(x)=\ln \left(e^{3 x}+1\right) $$
Functions
Exponential And Logarithmic Functions
If you graph the function $$ f(x) = \frac{1 - e^\frac{1}{x}}{1 + e^\frac{1}{x}} $$ you'll see that $ f $ appears to be an odd function. Prove it.
Functions and Models
Exponential Functions
If you graph the function $$f(x)=\frac{1-e^{1 / x}}{1+e^{1 / x}}$$ you'll see that $f$ appears to be an odd function. Prove it.
Functions and Sequences
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD