Given the exponential function g(x) = 12(2⁄3)x, find g(0) and g(1).



A. g(0) = 12; g(1) = 8
B. g(0) = 12; g(1) = 51⁄3
C. g(0) = 8; g(1) = 51⁄3
D. g(0) = 8; g(1) = 12

Respuesta :

Answer:

A g(0) =12  g(1) = 8

Step-by-step explanation:

g(x) = 12(2⁄3)^x

g(0) means x=0

g(0) = 12(2⁄3)^0

        =12 (1) = 12

g(1) means x=1

g(1) = 12(2⁄3)^1

     =12 (2/3)

     =24/3 = 8

Answer:

The Answer is A

Step-by-step explanation:

1. g(0) means that we need to replace X by 0 in the given function. For the other case, g(1) means we need to replace X by 1 in the given function.

2. For the first case we have

[tex]g(0)= 12 (\frac{2}{3} )^ 0 =12(1)=12[/tex]

note: remember any number raised to the 0 is 1

3. For the second case we have

[tex]g(1)=12(\frac{2}{3} )^1=12(2/3)= \frac{24}{3}=8[/tex]

note: remember any number raised to 1 yields the same number.