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Suppose that [itex]f, g : \mathbb{R} \rightarrow \mathbb{R}[/itex] are surjective (ie onto functions with domain [itex]\mathbb{R}[/itex] and allowable output values [itex]\mathbb{R}[/itex]). Prove that [itex]f \circ g[/itex] is also surjective (ie, prove [itex]f \circ g[/itex] is also onto).
First of all, I have absolutely no math theory experience, so I don't really understand what's being asked for here.
I know that ℝ is the set of all real numbers, but I'm not sure what ℝ → ℝ represents.
Can someone explain to me the mathematical terms and give me a breakdown of how this problem would be solved?
First of all, I have absolutely no math theory experience, so I don't really understand what's being asked for here.
I know that ℝ is the set of all real numbers, but I'm not sure what ℝ → ℝ represents.
Can someone explain to me the mathematical terms and give me a breakdown of how this problem would be solved?