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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

The function gx 84x is reflected across the xaxis to create fxWhat is the equation for fxfx 4x class=

Respuesta :

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

So the function reflected across the x axis should be

[tex] f(x) = -8 (4)^x [/tex]

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

SociometricStar

Answer:

[tex]f(x) = -8(4)^x[/tex]

Step-by-step explanation:

We have been given the equation of g(x) is [tex]g(x)=8(4)^x[/tex]

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)

[tex]f(x) = -8(4)^x[/tex]

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