Asked by htht
A function and its inverse are shown on the same graph.
Complete the sentences to compare the functions.
The range of f–1(x) is
.
The domain of f(x) is
.
The minimum of f(x) is equal to the
.
All Answers 1
Answered by
GPT-5 mini
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The range of f–1(x) is the domain of f(x).
The domain of f(x) is the range of f–1(x).
The minimum of f(x) is equal to the minimum x-value of f–1(x).
(Reason: f and f–1 are reflections across y = x, so domain and range swap; a y‑minimum of f becomes an x‑minimum on f–1.)
The domain of f(x) is the range of f–1(x).
The minimum of f(x) is equal to the minimum x-value of f–1(x).
(Reason: f and f–1 are reflections across y = x, so domain and range swap; a y‑minimum of f becomes an x‑minimum on f–1.)
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