Question

The function g is defined by the following rule.

Answer 1

Answer:

$g(-2) = 25$

$g(-1) = 5$

$g(0) = 1$

$g(1) = \frac{1}{5}$

Step-by-step explanation:

Given

$g(x) = \frac{1}{5}^x$

Solving (a): When x = -2

This gives:

$g(x) = \frac{1}{5}^{(-2)$

$g(x) = \frac{1}{5}^{-2$

$g(x) = 5^2$

$g(-2) = 25$

Solving (b) When x = -1

This gives:

$g(x) = \frac{1}{5}^{-1}$

$g(-1) = 5$

When x = 0

This gives:

$g(x) = \frac{1}{5}^0$

$g(0) = 1$

When x = 1

This gives:

$g(x) = \frac{1}{5}^1$

$g(1) = \frac{1}{5}$