Linear functions, inverses, and derivatives Consider the general linear function y = f1x2 = mx + b, where m # 0 and b are constants. a. Write the inverse of f in the form y = f-11x2. d b. Find the derivative of the inverse 1f -11x22. dx c. Consider the specific case f1x2 = 2x 6. Graph f and f-1, and find the slope of each line.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.7: Inverses Of Linear-functions
Problem 32PPS
Question
Linear functions, inverses, and derivatives Consider the general linear
function y = f1x2 = mx + b, where m # 0 and b are constants.
a. Write the inverse of f in the form y = f-11x2.
d
b. Find the derivative of the inverse
1f -11x22.
dx
c. Consider the specific case f1x2
= 2x
6. Graph f and f-1, and find the slope of
each line.
Transcribed Image Text:Linear functions, inverses, and derivatives Consider the general linear function y = f1x2 = mx + b, where m # 0 and b are constants. a. Write the inverse of f in the form y = f-11x2. d b. Find the derivative of the inverse 1f -11x22. dx c. Consider the specific case f1x2 = 2x 6. Graph f and f-1, and find the slope of each line.
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