> Let F: R→R bea function defined as f(æ)= (x+2). Solution:- As we know by the defination of one-to - one Function is: if we take Frae) = F(x2) then if we prove that aG=H2 then function is one-to-one otherwise muny one, So, here F(x)= (x+2)? then F(ei) = (x,+2)? Frxx) = (Xz+2) 50, if we take, Frse;)= F(x2) (xi+2) = ((2+2? :: Take under Root both, side. %3D 2,+2 = H+2 =) o, +2-2=X2 -) i. e., Given function is one - to-one Function.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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is that true because I think the true answer (not one-to-one) ?

6:03
0.93 :4G
KB/S
4lu 23
bartleby.com/que
= bartleby
Q&A
Engineering / Computer Scie... / Q&A Library / 1- ...
1- Let f: R→R be a function defined ...
TO eacli elemenL OI A.
Step 2
Answer:
V Let F: R→R bea function defined as f(x) = (e+2)
Solution:- As we know by the defination of one- to - one
Function is:
if we take F(ae) = f(x2) then if we prove that =2
then function is one-to-one otherwise muny one,
So, here F(x)= (x+2)²
F(ei) = (x;+2)"
Free) = (<2+2
then
5o, if we take,
Fe) = F(x2)
:: Take under Root both, side.
, +2 = lz+2
=) , +2-2=x2
-)
i. e., Civen function is one -to-one function.
2) Verify that froe)= 5x-1 and gloæe)=cat)/5 are
inverse function.
Solution:-
As we
know that
if F[ g(x>] =x
And a[frx)] =
x
then these Functions are inverse.
dets
Frx) = 5x-1
and g(x)= *!
T-
Transcribed Image Text:6:03 0.93 :4G KB/S 4lu 23 bartleby.com/que = bartleby Q&A Engineering / Computer Scie... / Q&A Library / 1- ... 1- Let f: R→R be a function defined ... TO eacli elemenL OI A. Step 2 Answer: V Let F: R→R bea function defined as f(x) = (e+2) Solution:- As we know by the defination of one- to - one Function is: if we take F(ae) = f(x2) then if we prove that =2 then function is one-to-one otherwise muny one, So, here F(x)= (x+2)² F(ei) = (x;+2)" Free) = (<2+2 then 5o, if we take, Fe) = F(x2) :: Take under Root both, side. , +2 = lz+2 =) , +2-2=x2 -) i. e., Civen function is one -to-one function. 2) Verify that froe)= 5x-1 and gloæe)=cat)/5 are inverse function. Solution:- As we know that if F[ g(x>] =x And a[frx)] = x then these Functions are inverse. dets Frx) = 5x-1 and g(x)= *! T-
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