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anonymous
 one year ago
A student says that the functions f(x) = 2x+2 and g(x) =2x2 are inverse functions because their graphs are parallel. Is the student's reasoning correct? Justify your answer
anonymous
 one year ago
A student says that the functions f(x) = 2x+2 and g(x) =2x2 are inverse functions because their graphs are parallel. Is the student's reasoning correct? Justify your answer

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Please help me @Nnesha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Someone please help me....

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what do you get if you solve y = 2x+2 for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Umh, you would get y=x2/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And then the other one would be y=x+2/2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yes \[\Large y = \frac{x2}{2}\] that is equivalent to \[\Large y = \frac{1}{2}x  1\] what is the slope of the second equation I wrote?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or would it be 1? Because I know that would be the y intercept right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so in y = 2x+2, the slope is 2 in y = (1/2)x  1, the slope is 1/2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2the slopes are not equal, so the lines aren't parallel

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And that would mean that the two functions are not inverses, right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2no when we solved for x and swapped x and y, we found the inverse

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But don't inverse functions have to equal x?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I'm just saying that not all inverses are parallel

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No i know that, but are they in this scenario?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are the two equations inverses? I wouldn't think so because they aren't equal to x... Or am I wrong

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2oh you mean y=2x+2 and y=2x2?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2well you just found the inverse of y = 2x+2 was y = (1/2)x1 so it is NOT y=2x2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2y=2x+2 and y=2x2 aren't inverses of each other

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok. Yeah, that's what I thought, but I just wanted to make sure. Do you think you could help me with another problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Another problem that also has to do with inverse functions...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Find the inverse of each function. Then use the definition of inverse functions to verify that the two functions are inverses. 1. f(x) = 3x+3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know that the inverse for this one is f 1(x)=3x/3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The other function is g(x)=0.25x+.6

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2use parenthesis and say (3x)/3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2keep in mind that 3x/3 without parenthesis means \(\LARGE 3  \frac{x}{3}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. And the inverse for the second one is f1(x)=4(.6x) right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would I have to plug them into each other to see if they are inverses following the definition of inverse functions?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2y=0.25x+0.6 has the inverse y = 4(x0.6) or y = 4x2.4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah you need to confirm that f(g(x)) = x and g(f(x)) = x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, so what would I do next?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. and they are not inverses right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there's more than two?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I'm lost about what you're asking

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You asked me which two

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What does that mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I apologize. I just don't understand this

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so you're given 2 functions, right? which 2 functions are you given again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would it be the two inverses of the functions?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2f(x) = 3x+3 and g(x)=0.25x+.6 right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so if you can show that f(g(x)) = x and g(f(x)) = x are both true, then you have proven they are inverses of each other

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. Thank you for your help.. I'll post another question if I need help.
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