Homework1. Find a formula for the inverse of the function andshow that ff'x)=r')).4х-1a. y = V10-3xb. y =c. y= 2x +32.x+32d. y=1-f. y=ix+0e. y = Vx + 2x;x>0-;x+0g. y= (x+1);x21h. y=x;x20i. y= (1/2)x-7/21-bydfdx\xsa2. Find a formula for the inverse of the function and verify thatdxIx=f(a)evaluating df dx at x=a and df'/dx at x=f(a).a. f(x) =2x + 3, a = -1c. f(x) =(1/5)x + 7, a = -1b. f(x) =5-4x , a = 1/2d. fx) =2r, x>0, a = 5

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Answered: 1. Find a formula for the inverse of…

1. Find a formula for the inverse of the function and show that ff'x)=f'Rx). 4х-1 a. y = V10-3x b. у3 c. y= 2x' +3 2.x+3

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

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Question

Homework
1. Find a formula for the inverse of the function and
show that ff'x)=r')).
4х-1
a. y = V10-3x
b. y =
c. y= 2x +3
2.x+3
2
d. y=1-
f. y=ix+0
e. y = Vx + 2x;x>0
-;x+0
g. y= (x+1);x21
h. y=x;x20
i. y= (1/2)x-7/2
1
-by
df
dx\xsa
2. Find a formula for the inverse of the function and verify that
dx
Ix=f(a)
evaluating df dx at x=a and df'/dx at x=f(a).
a. f(x) =2x + 3, a = -1
c. f(x) =(1/5)x + 7, a = -1
b. f(x) =5-4x , a = 1/2
d. fx) =2r, x>0, a = 5

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