Question

See photo below pleases

Answer 1

`g(x) = 1/5 * (1/3)^(-x)`

y-intercept: (0, 1/5)

domain: (-∞, ∞)

range: (0, ∞)

Explanation:

To reflect a figure about the y-axis, replace 'x' with '-x' in the function equation. Then, to compress a figure by 1/5, divide the entire function by 5. (I am assuming that stretching by a factor of 5 means multiplying the function by 5, and compressing by 1/5 means the opposite). Then, the equation of g is
`g(x) = 1/5 * (1/3)^(-x)`.

The function g has y-intercept (0, 1/5).

The function g, because it is exponential, has domain all real numbers (-∞, ∞) and range (0, ∞).