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missashleyn
 2 years ago
Someone please help?
Let f(x) = x2 – 16. Find f–1(x).
missashleyn
 2 years ago
Someone please help? Let f(x) = x2 – 16. Find f–1(x).

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amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1if we solve the problem: y = x^2  16; for x, what does it look like?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1and technically, there is no inverse function stated in the choices :/

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1we need to remember how to manipulate equation around to solve for a particular variable: y = x^2  16 this can be algebrated about to solve for x

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0What would I do first?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1would you agree that we can subtract 16 from each side to start to get x all alone?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1err, add 16 to each side that is

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Yes so it would be y = x^2/16? So C?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1y = x^2  16 +16 +16  y+16 = x^2 its not C, I havent gotten to the end results yet .....

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how we can get the "^2" off the x?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1good attempt, but lets try to take the square root, or sqrt it sqrt(y+16) = sqrt(x^2) sqrt(y+16) = x this is the general construct of our inverse function we are looking for, but they like to then swap xs and ys

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Ohhhhh so it's B then?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1B seems the most reasonable answer to me :)

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Okay thank you! I have one more like this, could you help me with it too?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1i can take a look at it sure

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Let f(x) = 5x + 12. Find f–1(x).

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1lets try the same process, but this one is simpler since we aint got to sqrt nothing y = 5x + 12 how do we solve for x so that x is all alone on one side of the equation?

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0 12 from each side y = 5x + 12  12  12 y  12 = 5x

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1so far so good, now to uncover the x, we should divide off that pesky looking 5 right?

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Yes so.. y  12 = 5x  5 y  12/5 = x

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0I think I'm confusing myself

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1you did fine, lets just make sure its looks "proper" :) \[\frac{y12}{5}=x\]

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Okay the closest choice I have to that is dw:1360095933270:dw

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1that will work fine ;)

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Okay awesome, thank you!! :)
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