, 3. a. Determine the invers 2x²+3=4 2x² = 9-3 x² = y-3 2 X = ± Y-3 y = ± √x==3 2 X-3 2 F'(x) = ·3 2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
, 3. a. Determine the inverse of f(x) = 2x² + 3.
2x²+3=4
2x² =y-3
x2 = y-3
2
X = ±
y = ±
F'(x)=
Y-
2
2
f(x) =
x
2
4. a.Determine a restriction we can make to the domain of f(x) = x + 1, so that its inverse
becomes a function and both graphs are visible within the domain. Explain why these
restrictions would turn the inverse into a function?
Transcribed Image Text:, 3. a. Determine the inverse of f(x) = 2x² + 3. 2x²+3=4 2x² =y-3 x2 = y-3 2 X = ± y = ± F'(x)= Y- 2 2 f(x) = x 2 4. a.Determine a restriction we can make to the domain of f(x) = x + 1, so that its inverse becomes a function and both graphs are visible within the domain. Explain why these restrictions would turn the inverse into a function?
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