Solution Found!
(a) Prove: If f and g are one-to-one, then so is the compositionf g.(b) Prove: If f and
Chapter 0, Problem 30(choose chapter or problem)
QUESTION:
(a) Prove: If \(f\) and \(g\) are one-to-one, then so is the composition \(f \circ g\).
(b) Prove: If \(f\) and \(g\) are one-to-one, then
\((f \circ g)^{-1}=g^{-1} \circ f^{-1}\)
Equation Transcription:
Text Transcription:
f
g
f circ g
(f circ g)^-1=g^-1 circ f^-1
Questions & Answers
QUESTION:
(a) Prove: If \(f\) and \(g\) are one-to-one, then so is the composition \(f \circ g\).
(b) Prove: If \(f\) and \(g\) are one-to-one, then
\((f \circ g)^{-1}=g^{-1} \circ f^{-1}\)
Equation Transcription:
Text Transcription:
f
g
f circ g
(f circ g)^-1=g^-1 circ f^-1
ANSWER:
Step 1 of 3
(a) Since 
and
