8. a) Let f(x) = 10* – 1 be an exponential function. Is f(x) a one to one function? If yes, find f'(x). b) Let f(x)=ln(x– 2) be a logarithmic function. Is f(x) a one to one function? If yes, find f'(x).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 5E: The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____.
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Question
8. a) Let f(x) = 10* – 1 be an exponential function. Is f(x) a one to one
function? If yes, find f-'(x).
b) Let f(x)= In(x – 2) be a logarithmic function. Is f(x) a one to one
function? If yes, find f'(x).
Transcribed Image Text:8. a) Let f(x) = 10* – 1 be an exponential function. Is f(x) a one to one function? If yes, find f-'(x). b) Let f(x)= In(x – 2) be a logarithmic function. Is f(x) a one to one function? If yes, find f'(x).
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Given problems:-

a) Let f(x)=10x −1 be an exponential function. Is f(x) a one to one function? If yes, find f¹(x).

b) Let f(x) = ln(x-2) be a logarithmic function. Is f(x) a one to one function? If yes, find f¹(x).

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