Let a and b be positive real numbers such that a + b = 1. Find set of all possible values of 1/a + 1/b.
+14903 Let a and b be positive real numbers such that a + b = 1. Find set of all possible values of 1/a + 1/b.
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\(a+b=1\\ a=1-b\\ \frac{1}{a}+\frac{1}{b}= \frac{1}{1-b}+\frac{1}{b}=\frac{b+1-b}{b-b^2}=\frac{1}{b-b^2}\\ \)
The set of all possible values of \(\frac{1}{a}+\frac{1}{b}\) are \(\{\mathbb R>1\}\ |\ \{a,b\} \subset \mathbb R\ \)und 1> a,b > 0
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