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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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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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