Question
The domain of a one-to-one function
is
, and its range is
. State the domain and the range of
.
What is the domain of
?
The domain of
is
.
(Type your answer in interval notiation.)
What is the range of
?
The range of
is
(Type your answer in interval notation.)
What is the domain of
The domain of
(Type your answer in interval notiation.)
What is the range of
The range of
(Type your answer in interval notation.)
Ask by Whittaker Marshall. in the United States
Nov 02,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The domain of
is
and the range of
is
.
Solution

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Bonus Knowledge
The range of
is
. Since the domain and range of a function and its inverse are swapped, we can confidently say that whatever was the range of the original function
becomes the domain of its inverse
and vice versa.
Now, here’s a fun fact: when you think of one-to-one functions, visualize a unique matchmaker! Each input is paired with a unique output, making it easy to trace those relationships backward—just like the perfect date that guarantees compatibility! So, remembering the function’s traits helps us easily identify its inverse’s domain and range.