Question

Find f(-2) for f(x) = 5 (3^x)

Answer 1

`~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] ~\dotfill\\\\ f(x)=5\cdot 3^x\hspace{5em}f(-2)=5\cdot 3^(-2)\implies f(-2)=5\cdot \cfrac{1}{3^2}\implies f(-2)=\cfrac{5}{9}`