Let $S=\{0,1\}$ and $F=R$. In $\mathcal{F}(S, R)$, show that $f=g$ and $f+g=h$, where $f(t)=2 t+1, g(t)=1+4 t-2 t^{2}$, and $h(t)=5^{t}+1$.

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Exercise 1.2.7

Let $S = {0, 1}$ and $F = R$ . In $ℱ (S, R)$ , show that $f = g$ and $f + g = h$ , where $f (t) = 2 t + 1, g (t) = 1 + 4 t - 2 t^{2}$ , and $h (t) = 5^{t} + 1$ .

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It is enough to check that $f (0) + g (0) = 2 = h (0)$ and $f (1) + g (1) = 6 = h (1)$ .

jephianlin

2011-06-27 00:00

Exercise 1.2.7

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