Mathematics, 24.03.2021 20:50 fatty18
Freddy makes the claim that the inverse function of the function ƒ(x), where f(x)=2x2+2, is f−1(x)=x−22−−−√
His work is shown below.
For ƒ(x) let y=2x2+2 then the inverse function is
x=2y2+22y2=x−2y2=x−22
y=x−22−−−√ therefore the inverse function of ƒ(x) is f−1(x)=x−22−−−√
In order for Freddie's claim to hold true, which of the following assumptions must be made?
A
The domain of ƒ(x) is x≥0.
B
The domain of ƒ(x) is x≥−2.
C
The domain of f−1(x) is x≥0.
D
The domain of f−1(x) is x≥−2.
Answers: 2
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