162k views
3 votes
A verbal description of a function is given. To evaluate f(x), divide the input by 7 and add (6)/(7) to the result. (a) Find an algebraic representation for the function.

User Helma
by
7.8k points

2 Answers

2 votes

The algebraic representation of the function
\(f(x)\) is:


\[f(x) = (x)/(3) + (2)/(3)\]

To find an algebraic representation for the function
\(f(x)\) based on the verbal description, you need to perform two steps:

1. Divide the input by 3.

2. Add
\((2)/(3)\) to the result of the division.

Let's break this down step by step:

Step 1: Divide the input by 3.

To do this, you simply divide
\(x\) by 3. This can be represented as
\((x)/(3)\).

Step 2: Add
\((2)/(3)\) to the result.

After dividing
\(x\) by 3, you add
\((2)/(3)\) to the result. So, you add
\((2)/(3)\) to
\((x)/(3)\). This can be represented as
\((x)/(3) + (2)/(3)\).

Now, you can combine these two steps to obtain the algebraic representation of the function
\(f(x)\):


\[f(x) = (x)/(3) + (2)/(3)\]

User Mo Kargas
by
8.2k points
5 votes

The algebraic representation of the verbal description "evaluate f(x), divide the input by 7 and add (6)/(7) to the result" is


f(x) = ((x + 6))/(7)

What is the algebraic representation of the function?

Let

the input be x

x divided by 7, then, add 6/7 to the result


f(x) = (x)/(7) + (6)/(7)


f(x) = ((x + 6))/(7)

Therefore,


f(x) = ((x + 6))/(7)

User Oleiade
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories