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The function f' is defined by 1 f:xH 1-x² Give a reason why f does not have an inverse. If the domain of f is restricted to k≤x<1, state the least value of k such that f has an inverse. Hence find f¹ in similar form. (iii) Describe the geometrical transformation that maps the graph of y = f (x) to the graph of y=f(x) for which k≤x<1. (iv) Show that f 'f(x)=x. Hence find h(x), given that hf'(x)=lnx. (i) (ii) x = R,x #1,-1 ‚

The function f' is defined by 1 f:xH 1-x² Give a reason why f does not have an inverse. If the domain of f is restricted to k≤x<1, state the least value of k such that f has an inverse. Hence find f¹ in similar form. (iii) Describe the geometrical transformation that maps the graph of y = f (x) to the graph of y=f(x) for which k≤x<1. (iv) Show that f 'f(x)=x. Hence find h(x), given that hf'(x)=lnx. (i) (ii) x = R,x #1,-1 ‚

Algebra and Trigonometry (6th Edition)
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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(i) (ii) The function f is defined by f:xH Give a reason why f does not have an inverse. If the domain of f is restricted to k<x<1, state the least value of k such that f has an inverse. Hence find f¹ in similar form. Describe the geometrical transformation that maps the graph of y = f (x) to the graph of y=f(x) for which k≤x<1. (iv) Show that f'f(x)=x. Hence find h(x), given that hf'(x)=lnx. @ @ 1 1-x² , xeR₁x #1, -1 2,
Transcribed Image Text:(i) (ii) The function f is defined by f:xH Give a reason why f does not have an inverse. If the domain of f is restricted to k<x<1, state the least value of k such that f has an inverse. Hence find f¹ in similar form. Describe the geometrical transformation that maps the graph of y = f (x) to the graph of y=f(x) for which k≤x<1. (iv) Show that f'f(x)=x. Hence find h(x), given that hf'(x)=lnx. @ @ 1 1-x² , xeR₁x #1, -1 2,
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Ans for part iii is not provided, habe to find h(x)

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