gare inverse functions. 15. f(x) = x + 4, g(x) =x-4 16. fu)-2x + 3.gx) =Dx-을 17. flx) = -x', g(x) = (4x)!/3 18. f(x) = x – 1, g(x) = 5x + 5 19. f(x) = 4x + 9, g(x) = =x = 20. flx) = 5x² – 2, x2 0; g(x) = ( * 2)" 1/2 21. * MULTIPLE CHOICE What is the inverse of the function whose graph is shown? 3 g(x) = x – 6 ® g(x) = ÷x + 6 !! © glx} = %x = 6 O g(x) = %x + 12 %3!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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I need Algebra 2 help. Lesson was very confusing today , so I don’t get the class work. It’s on verifying inverse functions. Down below I put a reference
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VERIFYING INVERSE FUNCTIONS Verify that fand gare inverse functions.
15. f(x) = x + 4, g(x) = x – 4
16. f(x) = 2x + 3, g(x) = ,r –
17. f(x) =x, glx) = (4x)/3
18. f(x) = =x – 1, g(x) = 5x + 5
19. f(x) = 4x + 9, g(x) = -x =
20. f(x) = 5x² – 2, x20; g(x) = ( * * 2
21. * MULTIPLE CHOICE What is the inverse of the
function whose graph is shown?
A g(x) =x – 6
® g(x) = ÷x + 6
© g(x) =* – 6
O g\x) = ÷x + 12
only do the
oo nighlghtld
ones hi
P Type here to search
67°F Partly sunny
7:23 AM
11/10/2021
Transcribed Image Text:ing Tool Tools Help Mode - Delay VERIFYING INVERSE FUNCTIONS Verify that fand gare inverse functions. 15. f(x) = x + 4, g(x) = x – 4 16. f(x) = 2x + 3, g(x) = ,r – 17. f(x) =x, glx) = (4x)/3 18. f(x) = =x – 1, g(x) = 5x + 5 19. f(x) = 4x + 9, g(x) = -x = 20. f(x) = 5x² – 2, x20; g(x) = ( * * 2 21. * MULTIPLE CHOICE What is the inverse of the function whose graph is shown? A g(x) =x – 6 ® g(x) = ÷x + 6 © g(x) =* – 6 O g\x) = ÷x + 12 only do the oo nighlghtld ones hi P Type here to search 67°F Partly sunny 7:23 AM 11/10/2021
ational Exponents and Radical Functions
EXAMPLE 2
Verify that functions are inverses
Verify that f(x) = 3x – 5 and f¯'(x) = x+ 2 are inverse functions.
Solution
STEP 1 Show that f(f(x)) = x.
STEP 2 Show that ff(x)) = x.
f'r) = f'(3x - 5)
%3D
3
= 3(r+) - 5
= (3x- 5) +
5
+
3 3
= x + 5 - 5
= x-
= x/
= x/
EXAMPLE 3
Solve a multi-step problem
FITNESS Elastic bands can be used in
exercising to provide a range of resistance.
A band's resistance R (in pounds) can be
Unstretched
Paul A. Soude
Transcribed Image Text:ational Exponents and Radical Functions EXAMPLE 2 Verify that functions are inverses Verify that f(x) = 3x – 5 and f¯'(x) = x+ 2 are inverse functions. Solution STEP 1 Show that f(f(x)) = x. STEP 2 Show that ff(x)) = x. f'r) = f'(3x - 5) %3D 3 = 3(r+) - 5 = (3x- 5) + 5 + 3 3 = x + 5 - 5 = x- = x/ = x/ EXAMPLE 3 Solve a multi-step problem FITNESS Elastic bands can be used in exercising to provide a range of resistance. A band's resistance R (in pounds) can be Unstretched Paul A. Soude
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