Theorem 3: If h=fog: X-> Z is bijection then: a) f is one-to-one b) g is onto

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Write a proof for the following parts...

 

Theorem 3: If h= fog : X→ Z is bijection then:
a) f is one-to-one
is onto
b) g
Transcribed Image Text:Theorem 3: If h= fog : X→ Z is bijection then: a) f is one-to-one is onto b) g
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(Last answer I got for this was wrong as the composition is g(f(x)) and diagram given for counter example was f(g(x)))

Theorem 3: If h=fog : X→> 2 is bijection then:
a) f is one-to-one
b)
g
is onto
Transcribed Image Text:Theorem 3: If h=fog : X→> 2 is bijection then: a) f is one-to-one b) g is onto
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