/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 49 Does \(f(x)\) mean \(f\) times \... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 49

Does \(f(x)\) mean \(f\) times \(x\) when referring to a function \(f ?\) If not, what does \(f(x)\) mean? Provide an example with your explanation.

Short Answer

Expert verified
No, \(f(x)\) does not mean \(f\) times \(x\). It denotes a function named \(f\) and \(x\) is the variable or input into the function. For example, for the function \(f(x) = 2x + 3\), \(f(1)\) would output 5.

Step by step solution

01

Interpretation of Function Notation

The notation \(f(x)\) when referring to a function does not mean multiplication of \(f\) and \(x\). Rather, \(f(x)\) is a way to denote a function named \(f\) and \(x\) is the variable or input into the function.
02

Meaning of Function Notation

The function \(f(x)\) should be read as 'the value of \(f\) at \(x\)' or 'the output of \(f\) when \(x\) is the input'. Essentially, you input \(x\) into the function \(f\) and it will produce some output. This is different from multiplication where you multiply two quantities together.
03

Example of a Function

For example, consider the function \(f(x) = 2x + 3\). Here, the function takes any input \(x\) and multiplies it by 2, then adds 3. If we input 1 into the function \(f(1)\), the output will be \(2*1+3 = 5\). This demonstrates that \(f(x)\) refers to a specific operation or set of operations, specified by \(f\), applied to the input \(x\), rather than the multiplication of two quantities \(f\) and \(x\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve: $$x^{2}+2 \sqrt{3} x-9=0$$

Without going into specific details for each step, describe how the quadratic formula is derived.

Use the Pythagorean Theorem to solve Exercises \(67-72\). Express the answer in radical form and simplify, if possible. A baseball diamond is actually a square with 90 -foot sides. What is the distance from home plate to second base? (THE IMAGES CANNOT COPY)

A square flower bed is to be enlarged by adding 3 feet on each side. If the larger square has an area of 169 square feet, what is the length of the original square?

Solve each equation or system of equations. $$\left\\{\begin{array}{l}5 x-3 y=-13 \\ x=2-4 y\end{array}\right.$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.