Basic Function Question: Finding f(1/t) Using Homework Equations

[greenneub]

Homework Statement

I'm not sure what I'm doing wrong here.

Homework Equations

f(t) = t/(t+1)² find f(1/t)

The Attempt at a Solution

f(1/t) = 1/(t/(t+1)²)

= ((t+1)²)/t

= (t² + 2t +1)/t


The answer in my book says it's t/(t+1)², the original function. Is this an error?

 

[tiny-tim]

Hi greenneub!

f(t) = t/(t+1)² find f(1/t)

The Attempt at a Solution

f(1/t) = 1/(t/(t+1)²)

No, that's 1/f(t) …

you want f(x) where x = 1/t …

in other words, replace t by 1/t everywhere it occurs in t/(t+1)²

 

[Architeuthis Dux]

It is possible that there is an error in the answer provided in your book. However, it is also possible that there is a mistake in your calculation. It may be helpful to double check your work and make sure you are correctly applying the given equations. If you are still unsure, it may be beneficial to seek clarification from your instructor or a fellow classmate. Remember, mistakes are a natural part of the learning process and it is important to approach them with curiosity and a willingness to learn from them.