Question

The function f(x)=5(1/5)^x is reflected over the y axis. Which equations represent the reflected function? Select two options.

Answer 1

Answer:

$\boxed{ \ \sf5(\dfrac{1}{5})^{-x}\ }$

Step-by-step explanation:

As this is a reflection over the y axis we are looking for a function g so that

g(-x)=f(x) for x real

it gives g(x)=f(-x)

so the correct answer is

$5(\dfrac{1}{5})^{-x}$

we can write it as

   $\dfrac{5}{5^x} \ or \ \dfrac{1}{5^{x-1}} \ as \ well$

you can see the graphs below

hope this helps