Question

i am not understanding reflections of exponential functions.Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?g(x) = –Three-sevenths(2)xg(x) = Three-sevenths(–2)xg(x) = Three-sevenths (one-half)–xg(x) = Seven-thirds(2)–x

Answer 1

Solution:

Given the exponential function;

$f(x)=(\frac{3}{7})^{2x}$

When a function f(x) is reflected over the x-axis, it is multiplied by -1;

Thus, the reflection is;

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