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Cartesian Product

Consider func...

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Consider functions f and g such that composite gof is defined and is one-one. Are f and g both necessarily one-one.

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Q. Consider functions f and g such that composite gof is defined and is one are g both necessarily one-one.

Q. If f : A → B and g : B → C are one-one functions, show that gof is a one-one function.

Q. Consider a differential function

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f (- 1) = 0

| f^{'} (x) | \leq 2

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If functions $f : A \to B$ and $g : B \to A$ satisfy $g o f = I_{A}$ , then show that f is one-one and g is onto.

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Cartesian Product

Standard XII Mathematics