What is the equation of f(x)?
f(x)=8(4)
f(x)=-8(4)*
f(x)=8(2)
f(x)=-=( 14 )

B

if x =-1 then g(x) = -2 and f(x) =2

if x=0 then g(x) =-8 and f(x) = 8

so two functions are symmetry across the x axis

--> f(x) = - g(x) = -8.4^x

f(x) = -8(4)^x

Step-by-step explanation:

We are given that the function f(x) is the function g(x) = 8(4)^x reflected across the x-axis.

In order to do so, we need to map the corresponding y-value of every x-value to the opposite side while maintaining the same distance from the x-axis. To do this, we can simply have a negative sign in front of the function g(x) to demonstrate this mapping of values.

For example when x=0:

g(4) = 8(4)^0 = 8 * 1 = 8

If we were to reflect this point across the x-axis, we would have to place a negative sign in front:

-g(4) =-8

In order to reflect the entire function across the x-axis, we must have a negative sign in front of every point along the domain of the function:

This creates a new function with the reflected values : f(x) = -g(x)

By then substituting g(x) = 8(4)^x we obtain f(x) = -8(4)^x.

Hence, the solution is the second option in the list of choices.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4