Question

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−

Answer 1

Answer:
`g(x)=(3)^(-x)`

Explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function
`f(x)` will become
`f(-x)` .

Now, the given function :
`f(x)=(3)^x`

Then , after reflection across y axis the new function will become:

`g(x)=f(-x)=(3)^(-x)`