Pls help ASAP on all pls I BEG 1. To add two functions, you simply add the corresponding y-coordinates to get the combined function value.a) Trueb) false2. Given the functions f(x) = x² + 1 and g(x)= 3-x, determine an equation for the combined function y = f(x) + g(x).a. y = x²-x+ 2 b. y=x²-x+4C. y = x² + x +4 d. y=x²+x-2

Answered: 1. To add two functions, you simply add…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Pls help ASAP on all pls I BEG

1. To add two functions, you simply add the corresponding y-coordinates to get the combined function value.
a) True
b) false
2. Given the functions f(x) = x² + 1 and g(x)= 3-x, determine an equation for the combined function y = f(x) + g(x).
a. y = x²-x+ 2 b. y=x²-x+4
C. y = x² + x +4 d. y=x²+x-2

Expert Solution

Step 1: Introduction

Given:

1) The given statement is "To add two functions, simply add the corresponding y-coordinates to get the combined functional value".

2) The given functions are $f open parentheses x close parentheses equals x squared plus 1$ and $g open parentheses x close parentheses equals 3 minus x$ .

To Find:

1) We have to determine whether the given statement is true or false.

2) We have to find an equation for the combined function $y equals f open parentheses x close parentheses plus g open parentheses x close parentheses$ .