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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.
More Volume Problems : Under this section we are decide to take a look at several more volume problems. Though, the problems we see now will not be solids of revolution while we
is that rational or irrational number
I need help witth my homework can you help please
Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th
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project on heat loss in a cylindrical pipe
RELATING ADDITION AND SUBTRACTION : In the earlier sections we have stressed the fact that to help children understand addition or subtraction, they need to be exposed to various
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