Find inverse functions algebraically, and model inverse functions from contextual situations.
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Below is a function and its inverse from the previous lesson.
Write the equations that model each of these functions. How do you calculate the inverse algebraically?
Find the algebraic inverse of the following function:
$${g(x)=3x -4}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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What is an equation of the line formed when the line $${y=3x+1}$$ is reflected in the line $${y=x}$$?
a. $${y=3x-1}$$
b. $${y=\frac{x-1}{3}}$$
c. $${y= \frac{x}{3}-1}$$
d. $${x=y}$$
F.BF.B.4: Inverse of Functions 1a is made available on JMAP by Steve Sibol and Steve Watson. Copyright © 2017 JMAP, Inc. - All rights reserved. Accessed Oct. 19, 2017, 2:52 p.m..
What is the inverse of the function $${y=2x+3}$$?
a. $${x=\frac{1}{2}y-\frac{3}{2}}$$
b. $${x=\frac{1}{2}x-\frac{3}{2}}$$
c. $${y=2x-3}$$
d. $${x=-2y-3}$$
F.BF.B.4: Inverse of Functions 1a is made available on JMAP by Steve Sibol and Steve Watson. Copyright © 2017 JMAP, Inc. - All rights reserved. Accessed Oct. 19, 2017, 2:52 p.m..