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anonymous
 one year ago
Given that (6,8) is on the graph of f(x), find the corresponding point for the function f(1/2x).
anonymous
 one year ago
Given that (6,8) is on the graph of f(x), find the corresponding point for the function f(1/2x).

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jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Hmm... same type again huh? Well, we should have a better chance this time since we got the first one. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Let's see, all we know is that f(6) = 8. That is "When x = 6, then y = 8". This means I can only get an answer if the xvalue on the inside is equal to 6.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are you going to come back @jtvatsim

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1So, I will force the inside of f(1/2x) to be equal to 6. How can I do this? Easy, I wish for 1/2x = 6, so I can have my wish if x = 12. You can check that this actually works. So, we just have f(1/2 * 12) = f(6) = 8. The corresponding point is x = 12, then y = 8. (12,8)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jtvatsim Thank you so much. I understand what to do now, and I just answered and got one correct on my own. Cheers

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Any questions? It's a little weird. My gut instinct when first doing this problem was just to plug in the original xvalue like x = 6. But, I realized that this was a dead end, cuz we get f(1/2 * 6) = f(3) and I have no idea what f(3) is supposed to equal... So, if we are more clever, we'll realize that we need to choose our xvalue so that we END UP WITH the inside equal to 6. This is why I pick x = 12. Because then, f(1/2 * 12) = f(6) and I know exactly what that equals, f(6) = 8.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Awesome! Congrats! They aren't easy, so be proud of that! :)
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