contestada

The exponential function g, represented in the table, can be written as g(x) = a.b.
2
O
1
g(2)
12
9
REFRESH
THE
Complete the equation for g(x).
g(x) =
Stuck? Watch a video or use a hint

Respuesta :

Edufirst

Answer:

  • g(x) = 12 . (3/4)ˣ

Explanation:

Since the function and the table are garbled, I will explain you how to deal with this kind of questions with the function g(x) = a.bˣ, and the table:

===========

   x     g(x)

===========

   0    12

   1      9

===========

To complete the equation g(x) you must find a and b.

To find a, you can use the initial pair (0, 12), x = 0, g(0) = 12.

  • 12 = a . (b)⁰
  • 12 = a . (1)
  • 12 = a

Thus, the function is g(x) = 12 . (b)ˣ

Use the second pair (1, 9):

  • 9 = 12 . (b)¹
  • 9 = 12 . b
  • b = 9/12
  • b = 3/4

Hence, the function g(x) is:

  • g(x) = 12 . (3/4)ˣ

You might, for instance, find g(2):

  • g(2) = 12 . (3/4)² = 12 . 3²/4² = 12. 9/4² = 3 . 9 / 4 = 27/4

Answer:

g(x) = 12 . (3/4)ˣ

Step-by-step explanation:

I looked at hints, so there you go. lol