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What do I need to know?

What do I need to know?-example-1

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-2f(x)\implies -2[\log_2(x)]\implies \log_2\left( x^(-2) \right)\implies \log_2\left( \cfrac{1}{x^2} \right)=g(x) \\\\[-0.35em] ~\dotfill\\\\ f(x-2)\implies \log_2(x-2)=j(x) \\\\[-0.35em] ~\dotfill\\\\ f(x)+2\implies \log_2(x)+2=h(x)

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