2. Prove that if f: X → Y and g: Y → Z are onto, then g ∘ f: X → Z is also onto.

Name: 2. Prove that if f: X → Y and g: Y → Z are onto, then g ∘ f: X → Z is also onto.
Uploaded: 2022-06-10T14:03:55-08:00
Duration: 5 min 44 s
Channel: Adi S
Description: 2. Prove that if f: X → Y and g: Y → Z are onto, then g ∘ f: X → Z is also onto.

Question

Adi S · Accepted Answer

Step 1: Assume that f: X --> Y and g: Y --> Z are onto.

Question

2. Prove that if $f: X \to Y$ and $g: Y \to Z$ are onto, then $g \circ f: X \to Z$ is also onto.

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