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

• greenneub
In summary, a basic function is a simple mathematical rule that takes an input and produces an output, commonly written in the form of "f(x) = y". It differs from an advanced function in terms of complexity and scope, with basic functions having a limited range of applications. Some common examples of basic functions include addition, subtraction, multiplication, division, and exponentiation. Graphing a basic function can be done by plotting points on a coordinate plane or using a graphing calculator. Basic functions play a crucial role in scientific research by allowing scientists to model and analyze data, make predictions, and test hypotheses.

## 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?

Hi greenneub!
greenneub said:
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

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.

## What is a basic function?

A basic function is a mathematical rule that takes an input and produces an output. It is commonly written in the form of "f(x) = y" where x is the input and y is the output. Basic functions are essential in mathematical and scientific calculations.

## What is the difference between a basic function and an advanced function?

The main difference between a basic function and an advanced function is their complexity and scope. Basic functions are simple and have a limited range of applications, while advanced functions are more complex and have a wider range of applications. Advanced functions often build upon basic functions.

## What are some common examples of basic functions?

Some common examples of basic functions include addition, subtraction, multiplication, division, and exponentiation. Other basic functions include logarithms, square roots, and trigonometric functions such as sine, cosine, and tangent. These functions are used in a variety of mathematical and scientific fields.

## How do you graph a basic function?

To graph a basic function, you can plot points on a coordinate plane or use a graphing calculator. The x-axis represents the input values, and the y-axis represents the output values. By plotting several points and connecting them with a smooth line, you can visualize the shape and behavior of the function.

## What is the purpose of basic functions in scientific research?

Basic functions are essential in scientific research as they allow scientists to model and analyze data. By using basic functions, scientists can make predictions and draw conclusions about the relationships between different variables. Basic functions also help in formulating hypotheses and testing them through experiments.