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Help!! Let f(x)=7x13. Find f^1(x).
Let f(x)=x^216. Find f^1(x).
 one year ago
 one year ago
Help!! Let f(x)=7x13. Find f^1(x). Let f(x)=x^216. Find f^1(x).
 one year ago
 one year ago

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saifoo.khanBest ResponseYou've already chosen the best response.0
Do you know how to find an inverse?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
ask if you still need help.
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
I'm still confused..what am I finding the inverse to in my problem?? @hartnn
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
ok, let y=7x13 now to find the inverse, isolate x =... ? then just replace 'x' and 'y' (you can replace before isolating also.)
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
7x=13y?? why would there be a y in there??
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
and then divide the whole thing by 7, but they're going to be fractions.
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
y= 7x13 add 13 to both sides, then divide by 7 [Let there be fractions, its ok]
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
So basically you set the problem equal to 7x13, and either make it equal to y or x?? There is no y in the problem? that's why i am confused
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
x=13y/7, and then do you want me to solve for x on y=7x13 or that's what y equals?? So you use x to solve for y and y to solve for x??
 one year ago

ohimaiBest ResponseYou've already chosen the best response.0
y = f(x).. They are the same thing
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
x and y are the same thing??????
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
i considered f(x) = y for simplicity. i'll write out steps so that you can understand. y= 7x13 y+13 = 7x x = (y+13)/7 now to find inverse function just replace x and y y= (x+13)/7 so your inverse function is \[f^{1}(x)=\dfrac{x+13}{7}\] got this ?
 one year ago

ohimaiBest ResponseYou've already chosen the best response.0
f(x) and y are the same thing, so you rewrite it as y = 7x13
 one year ago

ohimaiBest ResponseYou've already chosen the best response.0
swop d x for d y.... it becomes x = 7y13
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
can you do same thing for f(x)=x^216. ?
 one year ago

ohimaiBest ResponseYou've already chosen the best response.0
after swopping, solve for y
 one year ago

ohimaiBest ResponseYou've already chosen the best response.0
yes, but u have to swop d x and d y back... final answer would be y = 4 + sqrt(x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
did u simplify like this ? \[\sqrt{16+y}=4+\sqrt y \] no, thats incorrect.
 one year ago

abbie1Best ResponseYou've already chosen the best response.0
sqrt. y+16=x^2 (Root over y+16)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yeah, the inverse function will be \[f^{1}(x)=\sqrt{x+16}\] no further simplification possible.
 one year ago
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