The function f is defined by f: x x + 2x 1 for 0
Question:
The function f is defined by f: x ↦ x² + 2x − 1 for 0 ≤ x ≤ 2.
a) Express f(x) in the form (x + a)² + b, where a and b are constants.
b) State the range of f.
c) Find an expression for f−1(x), stating its domain.
d)
Show that ff−1 = x.
e)
Sketch on the same diagram the graphs of y = f(x) and y = f−1(x),
making clear the relationship between the graphs.
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a fx x 2x 1 x 1 2 Therefore a 1 and b 2 b Since x 1 0 for all x fx x 1 2 has a minimum value ...View the full answer
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Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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