Question

My textbook is saying...
Observe that F(x)=2^(-x)=f(-x), thus, the graph of F is a reflection (in the y-axis) of the graph of f. How is this possible? Aren't they the same graph? Is there a difference between the symbols F(x) and f(x) that I don't know about? Thanks for any help! Will give medal, of course :)

Answer 1

\[F(x)=2^{-x}=f ^{-x}\]

Answer 2

Did your textbook say that f(x)=2^x

Answer 3

@inkyvoyd

Answer 4

No, just F(x)=2^(-x). F(x) is the same thing as f(x), right?

Answer 5

No there not the same. Could you take a snapshot to your textbook page

Answer 6

Yeah, I'll try. It will take me a second.

Answer 7

i take it that f(x)=2^x
when you do f(-x)=2^(-x)=F(x)
and i F(x) is really a reflection of f along the y axis

Answer 8

Sorry that took a while; my computer's lagging behind

Answer 9

It's the top paragraph.

Answer 10

Okay, I see what you said in your last reply. In example 2, is says that f(x)=2^x

Answer 11

i see, the thing is, they have talked about f(x) in the previous example with g(x)
so f(x)=2^x, g(x)=4^x check your textbook for this haha

Answer 12

well if you want to understand this try graphing 2^x and 2^-x
and see how the graph would look like

Answer 13

it should look this way!