SOLUTION: x –1,1,2 f(x) 729,9,1 Q65 The table above shows some values for the function f(x). If f(x) = g(3^-kx)for some constants g and k, what is the value of g? A) 1 B) 9 C)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: x –1,1,2 f(x) 729,9,1 Q65 The table above shows some values for the function f(x). If f(x) = g(3^-kx)for some constants g and k, what is the value of g? A) 1 B) 9 C)      Log On


   



Question 1119198: x –1,1,2
f(x) 729,9,1
Q65 The table above shows some values for the function f(x). If f(x) = g(3^-kx)for some constants g and k, what is the value of g?
A) 1
B) 9
C) 81
D) 729
Q66 Which of the following is equivalent to 6x
2
+ 5x – 6?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Q65...

When x increases by 1 (from 1 to 2) the value of f(x) decreases by a factor of 3^2 = 9; i.e., it gets multiplied by a factor of 3^-2. That means k=2.

Then for x=1 we have

g%2A%283%5E-2%29+=+9
g%2F9+=+9
g+=+81

The function is

f(x) = 81(3^(-2x))

Q66...

Your statement of the question is not clear....