Question

Evaluate the exponential function h(x)-+8 for h(-5). Round to 4 decimal places, if necessary.3h(-5) =help (formulas)

Answer 1

Given:

`h(x)=(1)/(3)((1)/(3))^x+8`

Find the value is h(-5)

Sol:

`h(x)=(1)/(3)((1)/(3))^x+8`

h(-5) value at x = -5 so,

`\begin{gathered} h(x)=(1)/(3)((1)/(3))^x+8 \\ \\ h(-5)=(1)/(3)((1)/(3))^(-5)+8 \\ \\ h(-5)=((1)/(3))^(-4)+8 \\ \\ h(-5)=81+8 \\ \\ h(-5)=89 \end{gathered}`

So, the value is 89.