/*! 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 39 Evaluate each function at the gi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 39

Evaluate each function at the given value of the variable. \(g(x)=-x^{2}+2\) a. \(g(4)\) b. \(g(-3)\)

Short Answer

Expert verified
The function \(g(x)=-x^{2}+2\) evaluates to -14 at \(x=4\) and -7 at \(x=-3\).

Step by step solution

01

Substitute \(x=4\) into the function

The first task is to substitute \(x=4\) into the function. So, replace every instance of \(x\) in the function with 4: \(g(4) = -4^{2} + 2\).
02

Simplify \(g(4)\)

Next, you need to simplify \(g(4)\). First, square the 4 to get 16. Multiply this by negative 1 to get -16. Finally, add 2 to -16, yielding: \(g(4) = -16 + 2 = -14\).
03

Substitute \(x=-3\) into the function

Now, substitute \(x=-3\) into the function. So, again, replace every instance of \(x\) in the function with -3: \(g(-3) = -(-3)^{2} + 2\).
04

Simplify \(g(-3)\)

Finally, simplify \(g(-3)\). First, square the -3 to get 9. Multiply this by negative 1 to get -9. Then, add 2 to -9, yielding: \(g(-3) = -9 + 2 = -7\).

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

Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. When graphing \(3 x-4 y<12\), it's not necessary for me to graph the linear equation \(3 x-4 y=12\) because the inequality contains a \(<\) symbol, in which equality is not included.

Graph each linear inequality. \(3 x+4 y \leq-12\)

Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}y<-2 x+4 \\ y

What does a dashed line mean in the graph of an inequality?

Without graphing, Determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}6 x-y \leq 24 \\ 6 x-y>24\end{array}\right.\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.