17.8k views
5 votes
Find f(-2) for f(x) = 5 (3^x)

Find f(-2) for f(x) = 5 (3^x)-example-1

1 Answer

3 votes


~\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}

User Matt Rabe
by
8.4k points

No related questions found