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Let f(x) = 4 + √√4x – 8. Find ƒ−¹(x). ƒ−¹(x) = " for x > 4

Let f(x) = 4 + √√4x – 8. Find ƒ−¹(x). ƒ−¹(x) = " for x > 4

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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Let \( f(x) = 4 + \sqrt{4x - 8} \). Find \( f^{-1}(x) \). \[ f^{-1}(x) = \large\boxed{\phantom{a}} \), for \( x \geq 4 \)
Transcribed Image Text:Let \( f(x) = 4 + \sqrt{4x - 8} \). Find \( f^{-1}(x) \). \[ f^{-1}(x) = \large\boxed{\phantom{a}} \), for \( x \geq 4 \)
Expert Solution
Step 1: To find Inverse.

Step 1 : Write f(x) as 'y'.

Step 2 : Swap 'x' and 'y'.

Step 3 : To solve 'y' .

Step 4 : Replace 'y' as f-1(x) .

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