3 The function f:xx²+2x+6 has domain x ER and x < k. Given that f is one-one, determine the greatest possible value of k. When k has this value: a determine the range of f b find the inverse function f¹ and state its domain and range csketch the graphs of y = f(x) and y = f¹(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2:55 PM Wed Nov 30
AA
S 2.4 Graphing Inverse Functions I...
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Let f and g be two functions such that fg(x) is defined, and suppose that f¹ and gi
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2
3 The function f : x → x² + 2x + 6 has domain î € R and x ≤ k. Given that f is one-one,
determine the greatest possible value of k. When k has this value:
determine the range of f
find the inverse function f¹ and state its domain and range
f(x) and y = = f¯¹ (x).
a
b
C
sketch the graphs of y
=
Transcribed Image Text:2 3 The function f : x → x² + 2x + 6 has domain î € R and x ≤ k. Given that f is one-one, determine the greatest possible value of k. When k has this value: determine the range of f find the inverse function f¹ and state its domain and range f(x) and y = = f¯¹ (x). a b C sketch the graphs of y =
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