Question

G(x)=1/6(8)^x-5. x=9​

Answer 1

`g(9) = (2048)/(3)`

Explanation:

Given

`g(x) = (1)/(6)(8)^(x-5)`

`x = 9`

Required

Solve

Substitute 9 for x in
`g(x) = (1)/(6)(8)^(x-5)`

`g(9) = (1)/(6)(8)^(9-5)`

`g(9) = (1)/(6)(8)^(4)`

Remove bracket

`g(9) = (1)/(6)* 8^4`

`g(9) = (1)/(6)* 4096`

`g(9) = (1* 4096)/(6)`

`g(9) = (4096)/(6)`

Simplify fraction

`g(9) = (2048)/(3)`