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

the function g(x)=8(4^x) is reflected across the x - axis to create f(x). what is the equation of f(x)? f(x)=8(4)^x f(x)=-8(4)^x f(x)=8(\\frac{1}{4})^x f(x)=-8(\\frac{1}{4})^x

the function g(x)=8(4^x) is reflected across the x - axis to create f(x). what is the equation of f(x)? f(x)=8(4)^x f(x)=-8(4)^x f(x)=8(\\frac{1}{4})^x f(x)=-8(\\frac{1}{4})^x

Answer

Explanation:

Step1: Recall reflection rule

When a function $y = g(x)$ is reflected across the $x -$axis, the transformation is $y=-g(x)$.

Step2: Apply to given function

Given $g(x)=8(4^{x})$, then $f(x)=-g(x)=-8(4^{x})$.

Answer:

$f(x)=-8(4)^{x}$