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Consider the function
f(x) =1/2 (2x +2-x)
which has the graph
(a) Explain why f has no inverse function. You should include an example to support your explanation.
(b) Determine the largest possible domain, which includes x = 1, for f(x) such that the inverse function f-1(x) does exist.
(c) Given your answers in (b) find the inverse function f-1(x). Clearly explain key steps and show all working.
(d) Sketch the graph of y = f(x) for the restricted domain in (b) and y = f-1(x) on the same set of axes. All points of intersection and axes-intercepts should be easily determined from your sketch or clearly labelled. Furthermore axes should be clearly labelled with appropriate scaling. It is suggested you use different colours for the two graphs and clearly label each graph.
6x^7-2x^3+4x-16 / 3x^2-7x+9
1. Using given data set (Assignment_1data in the folder) a) Make scatterplot between "Years since first marriage" and "Total children ever born" b) Make scatterplot between
Here we will use the expansion method Firstly lim x-0 log a (1+x)/x firstly using log property we get: lim x-0 log a (1+x)-logx then we change the base of log i.e lim x-0 {l
From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
Ask question Minimum 100 words accepted# 1000-101
what is the difference between North America''s part of the total population and Africa''s part
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The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati
The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
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