which function represents a reflection of $f(x)=\frac{3}{7}(2)^{x}$ over the $x$-axis?\n$g(x)=-\frac{3}{7}(2)…

which function represents a reflection of $f(x)=\frac{3}{7}(2)^{x}$ over the $x$-axis?\n$g(x)=-\frac{3}{7}(2)^{x}$\n$g(x)=\frac{3}{7}(-2)^{x}$\n$g(x)=\frac{3}{7}(\frac{1}{2})^{-x}$\n$g(x)=\frac{7}{3}(2)^{-x}$

which function represents a reflection of $f(x)=\frac{3}{7}(2)^{x}$ over the $x$-axis?\n$g(x)=-\frac{3}{7}(2)^{x}$\n$g(x)=\frac{3}{7}(-2)^{x}$\n$g(x)=\frac{3}{7}(\frac{1}{2})^{-x}$\n$g(x)=\frac{7}{3}(2)^{-x}$

Answer

Explanation:

Step1: Recall reflection rule

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

Step2: Apply to given function

Given $f(x)=\frac{3}{7}(2)^{x}$, its reflection over the $x -$axis is $g(x)=-\frac{3}{7}(2)^{x}$.

Answer:

A. $g(x)=-\frac{3}{7}(2)^{x}$