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
8:08
2 75 >
162%
→
a
b
c
KY
3
g f: x→ x ER and x ≤0
x
h f→7- x, x = R
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.
| 82%
|||
Transcribed Image Text:8:08 2 75 > 162% → a b c KY 3 g f: x→ x ER and x ≤0 x h f→7- x, x = R 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. | 82% |||
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