2 The function f:x+√√x-2+3 has domainx R and x > 2. a Determine the range of f. b Find the inverse function f¹ and state its domain and range. Sketch the graphs of y = f(x) and y = f¹ (x). C
2 The function f:x+√√x-2+3 has domainx R and x > 2. a Determine the range of f. b Find the inverse function f¹ and state its domain and range. Sketch the graphs of y = f(x) and y = f¹ (x). C
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,...
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Please help me answer number 2

Transcribed Image Text:8:08
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g f: x→ x ER and x ≤0
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2 The function f : x → √√x - 2 +3 has domainx € R and x > 2.
Determine the range of f.
Find the inverse function f¹ and state its domain and range.
Sketch the graphs of y = f(x) and y =
=f¹(x).
TIP
The reflection in the line y = x swaps the domain and
range of a function.
'A
3 The function f: x x² + 2x + 6 has domain x ER and x < k. Given that f is one-one,
datorming the countant nonnihla volun of 1 TAThan 1. han thin volua.
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