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5. а) Define the following with an example: i) Domain of a function ii) One – to – one function 4x+1 A functionfis defined on the det of real numbers by f(x)=- 2х -3 b) i) Write down the domain of f. ii) Show that fis a one – to – one function. iii) Find the inverse of the function f. Given the function MX) = x², g(x) = 3x – 4, find the composite function gof-' (where gof*'means flfollowed by g)

5. а) Define the following with an example: i) Domain of a function ii) One – to – one function 4x+1 A functionfis defined on the det of real numbers by f(x)=- 2х -3 b) i) Write down the domain of f. ii) Show that fis a one – to – one function. iii) Find the inverse of the function f. Given the function MX) = x², g(x) = 3x – 4, find the composite function gof-' (where gof*'means flfollowed by g)

Advanced Engineering Mathematics
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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OB/s 26% 4:47 PM Edit 88 25 5. a) Define the following with an example: i) Domain of a function ii) One – to - one function 4x +1 b) A function f is defined on the det of real numbers by f(x) =- 2х-3 i) Write down the domain of f. ii) Show that fis a one – to – one function. ii) Find the inverse of the function f. c) Given the function (x) = x², g(x) = 3x – 4, find the composite function gof- (where gofmeans f-'followed by g) d) A function f is defined on the set N of natural numbers by -...4/5 K0) = 2, (2) = 5 and (n) = 2 (n - 1) + 3 (n - 2) + An - 3) for all n 2 3. Find f(4). 88 W DO Tools Mobile View Share PDF to DOC
Transcribed Image Text:OB/s 26% 4:47 PM Edit 88 25 5. a) Define the following with an example: i) Domain of a function ii) One – to - one function 4x +1 b) A function f is defined on the det of real numbers by f(x) =- 2х-3 i) Write down the domain of f. ii) Show that fis a one – to – one function. ii) Find the inverse of the function f. c) Given the function (x) = x², g(x) = 3x – 4, find the composite function gof- (where gofmeans f-'followed by g) d) A function f is defined on the set N of natural numbers by -...4/5 K0) = 2, (2) = 5 and (n) = 2 (n - 1) + 3 (n - 2) + An - 3) for all n 2 3. Find f(4). 88 W DO Tools Mobile View Share PDF to DOC
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