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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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