Question

The exponential function ggg, represented in the table, can be written as g(x)=a\cdot b^xg(x)=a⋅b
x
g, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis
000 121212
111 999
Complete the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.

Answer 1

g(x) =     12 * (3/4)ˣ

Step-by-step explanation:

given function

g(x) =  a.bˣ

x = 0  g(x) = 12

x = 1  g(x) = 9

=> g(0)  = 12

=> a.b⁰ = 12

=> a  = 12

g(1) = 9

=> a. b¹ = 9

=> 12 b = 9

=> b = 9/12

=> b  = 3/4

g(x) =  a.bˣ    =   12 * (3/4)ˣ

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Answer 2

Answer:

12⋅(3/4)^x

Step-by-step explanation:

i checked on khan academy