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if x >0 2. Let f(x) 19(x) if x < 0 (a) Find the formula for g(x) which makes f(x) an even function. (b) Find the formula for g(x) which makes f (x) an odd function.

if x >0 2. Let f(x) 19(x) if x < 0 (a) Find the formula for g(x) which makes f(x) an even function. (b) Find the formula for g(x) which makes f (x) an odd function.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
### Problem Statement 2. Let \( f(x) = \begin{cases} \sqrt{x} & \text{if } x \geq 0 \\ g(x) & \text{if } x < 0 \end{cases} \) (a) Find the formula for \( g(x) \) which makes \( f(x) \) an **even** function. (b) Find the formula for \( g(x) \) which makes \( f(x) \) an **odd** function.
Transcribed Image Text:### Problem Statement 2. Let \( f(x) = \begin{cases} \sqrt{x} & \text{if } x \geq 0 \\ g(x) & \text{if } x < 0 \end{cases} \) (a) Find the formula for \( g(x) \) which makes \( f(x) \) an **even** function. (b) Find the formula for \( g(x) \) which makes \( f(x) \) an **odd** function.
Expert Solution
Given

The given function,f(x)=xif x≥0g(x)if x<0

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