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1. Let f (x)=log3 (√√x), for x>0. (a) Show that f¹(x)=3²* (b) Write down the range and domain of ƒ˜¹(x) . klog x (c) The function f(x) can also be written in the form f(x)= log b (i) Find the value of k and b. (ii) Write down the equation of the asymptote. Identify whether it is a horizontal or vertical asymptote.

1. Let f (x)=log3 (√√x), for x>0. (a) Show that f¹(x)=3²* (b) Write down the range and domain of ƒ˜¹(x) . klog x (c) The function f(x) can also be written in the form f(x)= log b (i) Find the value of k and b. (ii) Write down the equation of the asymptote. Identify whether it is a horizontal or vertical asymptote.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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1. Let f (x)=log3 (√√x), for x>0. (a) Show that f¹(x)=3²* (b) Write down the range and domain of ƒ˜¹(x) . klog x (c) The function f(x) can also be written in the form f(x)= log b (i) Find the value of k and b. (ii) Write down the equation of the asymptote. Identify whether it is a horizontal or vertical asymptote.
Transcribed Image Text:1. Let f (x)=log3 (√√x), for x>0. (a) Show that f¹(x)=3²* (b) Write down the range and domain of ƒ˜¹(x) . klog x (c) The function f(x) can also be written in the form f(x)= log b (i) Find the value of k and b. (ii) Write down the equation of the asymptote. Identify whether it is a horizontal or vertical asymptote.
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