2-2 Freddy makes the claim that the inverse function of the function f(x), where f (x) = 2x2 + 2, is f1 (x) = %3D His work is shown below. 2x2 + 2 then the inverse function is For f(x) let y 2y2 + 2 2y? = x – 2 y? %3D I-2 2 I-2 therefore the inverse function of f(x) is f (x) = 1/ V I-2 y = 2 In order for Freddie's claim to hold true, which of the following assumptions must be made? A The domain of f(x) is x > 0. B The domain of f(x) is æ >-2. The domain of f-1 (x) is a > 0. The domain of f1 (x) is x 2-2.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Freddy makes the claim that the inverse function of the function ƒ(x), where f(x)=2x2+2fx=2x2+2, is f−1(x)=x−22−−−√f-1x=x-22

His work is shown below.

For ƒ(x) let y=2x2+2y=2x2+2 then the inverse function is
x=2y2+22y2=x−2y2=x−22x=2y2+22y2=x-2y2=x-22
y=x−22−−−√y=x-22 therefore the inverse function of ƒ(x) is f−1(x)=x−22−−−√f-1x=x-22

In order for Freddie's claim to hold true, which of the following assumptions must be made?

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Question 18
2x2 + 2, is f1 (æ) =
I-2
Freddy makes the claim that the inverse function of the function f(x), where f (x) =
His work is shown below.
2x2 + 2 then the inverse function is
For f(X) let y
2y2 + 2
2y?
-2
I-2
y?
I-2
therefore the inverse function of f(x) is f (x) = /=
I-2
y =
In order for Freddie's claim to hold true, which of the following assumptions must be made?
A
The domain of f(x) is x 2 0.
B
The domain of f(x) is x > -2.
The domain of f1 (x) is x > 0.
The domain of f (x) is x > -2.
Transcribed Image Text:Question 18 2x2 + 2, is f1 (æ) = I-2 Freddy makes the claim that the inverse function of the function f(x), where f (x) = His work is shown below. 2x2 + 2 then the inverse function is For f(X) let y 2y2 + 2 2y? -2 I-2 y? I-2 therefore the inverse function of f(x) is f (x) = /= I-2 y = In order for Freddie's claim to hold true, which of the following assumptions must be made? A The domain of f(x) is x 2 0. B The domain of f(x) is x > -2. The domain of f1 (x) is x > 0. The domain of f (x) is x > -2.
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