The function g(x) = 8(4x) is reflected across the x-axis to create f(x).what is the equation for f(x)? f(x) = (4)^x

to reflect across the x axis , we multiply the function by negative

So the function reflected across the x axis should be

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

Step-by-step explanation:

We have been given the equation of g(x) is

When we reflect a function f(x) about the x-axis then the equation of function becomes -f(x).

Now, f(x) is created by reflecting across the function g(x) about x axis. Hence, we have

f(x) = -g(x)

Thus, we can fill -8 in the blank provided.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50