Question

Pre calc question...pls help

Answer 1

`{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ f(-4)=1\hspace{5em}1=ab^(-4)\implies 1=\cfrac{a}{b^4}\implies b^4=a \\\\[-0.35em] ~\dotfill\\\\ f(4)=69\hspace{5em}69=ab^4\implies \stackrel{\textit{substituting from the 1st equation}}{69=(b^4)b^4\implies 69=b^8} \\\\\\ \sqrt[8]{69}=b\implies (69)^{(1)/(8)}=b \\\\[-0.35em] ~\dotfill`

`y=√(69)\left( (69)^{(1)/(8)} \right)^x\implies \boxed{y=√(69)(69)^{(x)/(8)}} \\\\\\ \textit{when x=6.5, what is`