Question

The exponential function g, whose graph is given below, can be written as g(x)=a*b^x

Complete the equation for g(x)

PLEASE HELP!!!!

Answer 1

g(x) =
`9((1)/(3))^x`

Explanation:

Exponential function 'g' that can be written as g(x) = a.bˣ

From the graph attached,

Graph of the function passes through two points (0, 9) and (1, 3)

g(0) = a.b⁰

9 = a

Similarly, g(1) = a.b¹

3 = a.b

3 = 9(b)

b =
`(3)/(9)=(1)/(3)`

Therefore function will be,

g(x) =
`9((1)/(3))^x`