(a) Given the function, f(x) = x² +6x+ A.B where x<1. For this question, you are required to determine the decimal value of A f(x) by using the last two (2) digits of your student ID. Example 1: SUKD1234567, A = 6 and B=7, your f(x) = x² +6x + 6.7 Example 2: SUKD1234508, A=0 and B=8, your f (x) = x² + 6x+ 0.8 (i) Find the inverse function, f"(x). (ii) State corresponding domain and range. Hence, sketch the graphs of f(x) and f(x) on the same diagrar graph paper. (iii)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Student I.d to be used to solve question is  SUKD1703391 last two digits are 9 and 1

2
QUESTION 1
(а)
Given the function, f(x) = x² +6x+ A.B where x<1.
For this question, you are required to determine the decimal value of A. B in the
f (x) by using the last two (2) digits of your student ID.
Example 1: SUKD1234567, A= 6 and B=7, your f(x)= x² +6x + 6.7.
Example 2: SUKD1234508, A = 0 and B= 8, your f(x) = x² + 6x+ 0.8.
(i)
Find the inverse function, f'(x).
(ii)
State corresponding domain and range.
Hence, sketch the graphs of f(x) and f(x) on the same diagram using a
graph paper.
(iii)
tanh m + tanhn
(b)
Verify that
= tanh(m +n).
1+ tanh m tanh n
3
Transcribed Image Text:2 QUESTION 1 (а) Given the function, f(x) = x² +6x+ A.B where x<1. For this question, you are required to determine the decimal value of A. B in the f (x) by using the last two (2) digits of your student ID. Example 1: SUKD1234567, A= 6 and B=7, your f(x)= x² +6x + 6.7. Example 2: SUKD1234508, A = 0 and B= 8, your f(x) = x² + 6x+ 0.8. (i) Find the inverse function, f'(x). (ii) State corresponding domain and range. Hence, sketch the graphs of f(x) and f(x) on the same diagram using a graph paper. (iii) tanh m + tanhn (b) Verify that = tanh(m +n). 1+ tanh m tanh n 3
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