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Questions and Video Solutions for C3 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C3 June 2009 Past Paper
Figure 2 shows a sketch of part of the curve with equation y = f(x), x ∈ ℝ.
The curve meets the coordinate axes at the points A(0,1–k) and B(½ln k, 0)
where k is a constant and k > 1, as shown in Figure 2.
On separate diagrams, sketch the curve with equation
(a) y = |f(x)|
(b) y = f-1(x)
Show on each sketch the coordinates, in terms of k, of each point at which the curve meets or cuts the axes.
Given that f(x) = e2x - k
(c) state the range of f,
(d) find f-1(x)
(e) write down the domain of f-1.
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