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Studentc14
 3 years ago
Functions! Please help, very important! :)
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Studentc14
 3 years ago
Functions! Please help, very important! :) (file attached)

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slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.1f . g = h f = 3x + 5 h = 3x^2 + 3x + 2 so f(g(x)) = 3x^2 + 3x + 2 That means: 3(g(x)) + 5 = 3x^2 + 3x + 2 By inspection: g(x) = x^2 + x  1

Studentc14
 3 years ago
Best ResponseYou've already chosen the best response.0what's inspection, sorry?

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.1Figuring it out by looking at it

Studentc14
 3 years ago
Best ResponseYou've already chosen the best response.0I don't follow, how you get this part? 3(g(x)) + 5 = 3x^2 + 3x + 2

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.1we know h(x) = 3x^2 + 3x +2 > (1) and we know f.g = f(g(x)) but f(x) = 3x + 5, therefore f(g(x)) = 3(g(x)) + 5 > (2) and we know that f.g = h > f(g(x)) = h(x) therefore: (1) = (2) 3(g(x)) + 5 = 3x^2 + 3x +2

Studentc14
 3 years ago
Best ResponseYou've already chosen the best response.0ohkay, and then you can kinda just look at it and like guess and check and see that x^2+x1 works for g, right?

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.1Yes. Or you can just solve G like a normal variable: 3(g(x)) + 5 = 3x^2 + 3x +2 Substract 5 on both sides: 3(g(x)) = 3x^2 + 3x 3 Divide by 3: g(x) = x^2 + x  1

Studentc14
 3 years ago
Best ResponseYou've already chosen the best response.0oh! that's much clearer. thank you so much!

slaaibak
 3 years ago
Best ResponseYou've already chosen the best response.1haha, colloquial for "cool, no problem"
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