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abbie1
 2 years ago
Help!! Let f(x)=7x13. Find f^1(x).
Let f(x)=x^216. Find f^1(x).
abbie1
 2 years ago
Help!! Let f(x)=7x13. Find f^1(x). Let f(x)=x^216. Find f^1(x).

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saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know how to find an inverse?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1ask if you still need help.

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0I'm still confused..what am I finding the inverse to in my problem?? @hartnn

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

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.07x=13y?? why would there be a y in there??

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0and then divide the whole thing by 7, but they're going to be fractions.

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

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0So 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

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0x=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??

ohimai
 2 years ago
Best ResponseYou've already chosen the best response.0y = f(x).. They are the same thing

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0x and y are the same thing??????

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1i 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 ?

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

ohimai
 2 years ago
Best ResponseYou've already chosen the best response.0swop d x for d y.... it becomes x = 7y13

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1can you do same thing for f(x)=x^216. ?

ohimai
 2 years ago
Best ResponseYou've already chosen the best response.0after swopping, solve for y

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

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

abbie1
 2 years ago
Best ResponseYou've already chosen the best response.0sqrt. y+16=x^2 (Root over y+16)

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