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anonymous
 one year ago
graph and find the inverse of f(x)=2x^24. Once you find the inverse, graph it too.
anonymous
 one year ago
graph and find the inverse of f(x)=2x^24. Once you find the inverse, graph it too.

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1This only has a restricted inverse since the function is not 11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0too bad it doesn't have an inverse ...

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1and what I mean is that it does not have an inverse :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm..so would I just graph f(x)=2x^24 and then say it doesnt have an inverse?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1You can say that by the definition of an inverse, it must be 11 and it is not.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1or I guess graph it and draw a horizontal line through any two points to show it is not 11

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What about y=3x+6? I got x+3/6 as the inverse

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1\(y=3x+6\) Switch the \(x\) and the (y\) and solve for \(y\). \(x=3y+6\\ x6=3y\\ \dfrac{x6}{3}=y\\ y=\dfrac{6x}{3}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not to butt in but you can still solve \[2y^24=x\]for \(y\) to find an inverse, it just won't be a function

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1or restrict the domain on the first one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0add 4, divide by 2 and you get \[y^2=\frac{x+4}{2}\] but when you solve for \(y\) you get \[y=\pm\sqrt{\frac{x+4}{2}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the \(\pm\) make it not a function

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1\(f:\mathbb{R}^+\rightarrow R, f(x) = 2x^24\) has as its inverse a proper function.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1I think they meant, use the graph to determine if it has an inverse.
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