Question

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

Answer 1

Answer: $g(x)=(3)^{-x}$

Step-by-step 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:

$g(x)=f(-x)=(3)^{-x}$