Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
= =
= x
-----------------------------------------------------------------------------
g(f(x))
= g( )
= ( 6 × ) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Option B: 4 is the multiplicative rate of change of the function
Explanation:
The exponential growth function is
We need to determine the multiplicative rate of change of the function.
First, let us determine the values of function.
x y
1 8
2 32
3 128
4 512
Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.
Thus, the multiplicative rate of change of the function is given by
Multiplicative rate of change of the function =
Multiplicative rate of change of the function =
Multiplicative rate of change of the function =
Thus, the multiplicative rate of change of the function is 4
Therefore, Option B is the correct answer.