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MAT1510 Assignment 3 2024 - DUE 25 June 2024 R50,57   Add to cart
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MAT1510 Assignment 3 2024 - DUE 25 June 2024
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MAT1510 Assignment 3 2024 (394458) - DUE 25 June 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Question 1: 8 Marks (1.1) Rewrite the expression (4) log3 3 √ 2x +5 p3 (x −1) 5 in a form wit...

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MAT1510
ASSIGNMENT 3 2024
UNIQUE NO. 394458
DUE DATE: 25 JUNE 2024

, MAT1510/101/0/2024


ASSIGNMENT 03
Due date: Tuesday, 25 June 2024
Total Marks: 100
UNIQUE ASSIGNMENT NUMBER: 394458

ONLY FOR YEAR MODULE

This assignment covers chapter 4 of the prescribed book as well as the study guide

DO NOT USE A CALCULATOR.

Question 1: 8 Marks


(1.1) Rewrite the expression √ (4)
3 2x + 5
log3 p3
(x − 1) 5
in a form with no logarithms of products, quotients, or powers.

(1.2) Rewrite the expression (4)
3
ln x 2 + 1 − ln(x + 1) − ln(x − 1)
2
as a single logarithm.

Question 2: 20 Marks


(2.1) Sketch the graph of the function f defined by (6)

y = 2 − log3 (x + 3)
.
State the equation of the asymptote, the domain, and the range of the function f . The
graph does not need to be accurate, but show clearly where ( if) the graph cuts the axes.

(2.2) Suppose the function h is defined by (3)
y = log3 (x).
Explain all the steps of transformation process that you would apply to the graph off to obtain
the graph of h.

(2.3) Determine an equation for the inverse function f − 1 . (3)

(2.4) Show that (f ◦ f − 1 )( x) = x and (f − 1 ◦ f )( x) = x . (6)

(2.5) Explain why (2)
−1 −1
log3 x ̸= l(og3 x)
.


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