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F-BF.4.a Warmup M2-017-A09-V01

Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.

Use a table of values to find an inverse function value

Problem

Use this table to determine \(f^-1(7)\): \(x:~1,2,3\); \(f(x):~4,7,10\).

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What this problem is really about

An inverse table lookup starts with an original output and asks which input produced it. We’ll locate the target in the output row, trace within the same column to its paired input, and verify the lookup by reversing that ordered pair.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-BF.4.a
Category
Functions
Domain
Building Functions
Objective
Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.
Problem type
Use a table of values to find an inverse function value