Question

The function g is defined by the following rule.

g(x)=(1/5)^x
Find g(x) for each x-value in the table.

Answer 1

`g(-2) = 25`

`g(-1) = 5`

`g(0) = 1`

`g(1) = (1)/(5)`

Explanation:

Given

`g(x) = (1)/(5)^x`

Solving (a): When x = -2

This gives:

`g(x) = (1)/(5)^{(-2)`

`g(x) = (1)/(5)^{-2`

`g(x) = 5^2`

`g(-2) = 25`

Solving (b) When x = -1

This gives:

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

`g(-1) = 5`

When x = 0

This gives:

`g(x) = (1)/(5)^0`

`g(0) = 1`

When x = 1

This gives:

`g(x) = (1)/(5)^1`

`g(1) = (1)/(5)`