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MATH / Given that f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, and f^(−1)(x) is the inverse of f(x), what is f^(−1)(f^(−1)(3))?

Problem

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problem

Given that

f(x)

is a function such that

f(1)=2

f(4)=3

f(7)=4

, and

f^{-1}(x)

is the inverse of

f(x)

, what is

f^{-1}(f^{-1}(3))

Plain-text mathematical notation (without MathML)

Given that f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, and f^(−1)(x) is the inverse of f(x), what is f^(−1)(f^(−1)(3))?

Original LaTeX notation

Given that $f(x)$ is a function such that $f(1)=2$, $f(4)=3$, $f(7)=4$, and $f^{-1}(x)$ is the inverse of $f(x)$, what is $f^{-1}(f^{-1}(3))$?

level

Level 3

type

Algebra

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Source and history

task_id: 02b4a4a5-a183-59f2-9ff3-ea1426323b23
task_key: algebra--test--02b4a4a5-a183-59f2-9ff3-ea1426323b23
task_revision_id: 2
config / split: algebra / test

Official source

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