(i) The function f is defined by f: IR → R/{-1} , x-1 „**-1 and hf (x) = 2x – 3. x+1 (a) Find h(x). (b) Show that f is bijective. (ii) Prove by contradiction that 5 is irrational.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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All the questions please

(i)
The function f is defined by f: R → R/{-1} ,
f:x→
x*-1 and hf (x) = 2x– 3.
x+1
(a)
Find h(x).
(b)
Show that f is bijective.
(ii)
Prove by contradiction that 5 is irrational.
Transcribed Image Text:(i) The function f is defined by f: R → R/{-1} , f:x→ x*-1 and hf (x) = 2x– 3. x+1 (a) Find h(x). (b) Show that f is bijective. (ii) Prove by contradiction that 5 is irrational.
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