Find the inverse of the following functions: a) For all real values of X, function fi is defined by -7 fi(X) XЗ — 8 Invert function f1. b) a and b are fixed constants. For all real values of X, function f2 is defined by f2(X) — аХ — 3— ЬХ Invert function f2. (Hint: You will need to manipulate the expression so X appears only once.) c) For all real values of X, function f3 is defined by X +3 X – 2 f3(X) : Invert function f3. (Hint: fixing the value of X, solve the equation )+3 fz'(X)-2 = X for fz '(X))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the inverse of the following functions:
a) For all real values of X, function fi is defined by
-7
fi(X)
=
XЗ — 8
Invert function f1.
b) a and b are fixed constants. For all real values of X, function f2 is defined by
f2(X) — аХ — 3 — bХ
Invert function f2. (Hint: You will need to manipulate the expression so X appears only once.)
c) For all real values of X, function f3 is defined by
X + 3
f3(X) =
X – 2
fa "(X)+3
f3 "(X)-2
X for fz '(X))
Invert function f3. (Hint: fixing the value of X, solve the equation
Transcribed Image Text:Find the inverse of the following functions: a) For all real values of X, function fi is defined by -7 fi(X) = XЗ — 8 Invert function f1. b) a and b are fixed constants. For all real values of X, function f2 is defined by f2(X) — аХ — 3 — bХ Invert function f2. (Hint: You will need to manipulate the expression so X appears only once.) c) For all real values of X, function f3 is defined by X + 3 f3(X) = X – 2 fa "(X)+3 f3 "(X)-2 X for fz '(X)) Invert function f3. (Hint: fixing the value of X, solve the equation
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