I'm having trouble getting through these types of problems:

Can someone tell me how to approach this?

The point (8, -4) is on the graph of y=f(x). Find the corresponding point on the graph of
g(x)=3f(1/2x)+11

Any assistance would be greatly appreciated!

-Brett

3 answers

You know that f(8) = -4
So, if you want f(x/2), you need x/2 = 8, so x = 16
g(16) = 3f(8)+11 = 3(-4)+11 = -1
So the point (16,-1) is on the graph of g(x)
I was setting everything up backwards. Thank you for the clarification. These questions ACTUALLY make sense now!
Feels good, don't it?