9. Factorize: a2 - 9
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D:x∈RR:[0,2]
$$y = \log_\sqrt{5} (\sqrt{2} (\sin x - \cos x) + 3)$$
We know, −2≤sinx−cosx≤2
Hence domain is x∈R
and Range $$[\log_\sqrt{5} (\sqrt{2} (-\sqrt{2}), \log_\sqrt{5} (\sqrt{2} (\sqrt{2}) + 3)]=[\log_\sqrt{5}1, \log_\sqrt{5} 5] = [0,2]$$
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