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Barrelracing
 one year ago
Which of the following expressions is the inverse of the function y= x+5/7
a) y= x+7/5
b) y= x5/7
c) y=5x7
d) y=7x5
Barrelracing
 one year ago
Which of the following expressions is the inverse of the function y= x+5/7 a) y= x+7/5 b) y= x5/7 c) y=5x7 d) y=7x5

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2if the equation is y=x+5/7 to do that you just need to subtract 5/7 on both sides if the equation is y=(x+5)/7 I would first multiply 7 on both sides and if is this equation you have one more step remaining after that

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0its the first one but im not sure how to divide the 5/7 to both sides..sorry can u help?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2no subtraction is not division

freckles
 one year ago
Best ResponseYou've already chosen the best response.2Here is an example: \[y=x+a \\ \text{ Subtract } a \text{ on both sides } \\ ya=x \\ \text{ or other way around } x=ya \\ \text{ then you can interchange } x \text{ and } y \\ y=xa \text{ this is the inverse of } y=x+a\]

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0sorry read it wrong so it would be 5/7y = x?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2well you didn't exactly subtract 5/7 on the left hand side it appears you multiply 5/7 on left hand side

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0im so confused can u just do this one for me so I can use it as an example for my other problems? im not cheating it would be easier for me to understand. im sorry.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2oh so you didn't understand the example above either?

Barrelracing
 one year ago
Best ResponseYou've already chosen the best response.0oh wait got it hold on

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\text{ pretend } a=\frac{2}{3} \\ y=x\frac{2}{3} \text{ is the inverse of } y=x+\frac{2}{3} \\ \text{ if work needs \to be shown we can go through the process again } \\ \text{ pretend we have } \\ y=x+\frac{2}{3} \\ \text{ subtract } \frac{2}{3} \text{ on both sides } \\ y\frac{2}{3}=x \\ x=y\frac{2}{3} \\ \text{ interchange } x \text{ and } y \\ y=x\frac{2}{3} \\ \text{ So we know } y=x\frac{2}{3} \text{ is the inverse of } y=x+\frac{2}{3}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[y=x+\frac{5}{7} \\ \text{ subtract} \frac{5}{7} \text{ on both sides } \\ y\frac{5}{7}=x \\ x=y\frac{5}{7}\] yep now just interchange x and y

freckles
 one year ago
Best ResponseYou've already chosen the best response.2replace x with y and y with x

freckles
 one year ago
Best ResponseYou've already chosen the best response.2pull the old switch a roo

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1y= x+5/7 switch the x and the y and then solve for y

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you can solve for x then switch but either way

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1I was taught to switch first then solve for y :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1but that works too... even though I got used to one technique @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.2here is another example @Barrelracing of finding inverse of a linear function \[y=\frac{x+5}{7} \\ \text{ multiply both sides by } 7 \\ 7y=x+5 \\ \text{ then subtract} 5 \text{ on both sides } 7y5=x \\ \text{ now interchange } x\text{ and } y \\ 7x5=y \\ y=7x5 \text{ is the inverse of } y=\frac{x+5}{7}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2there is a reason I like to do the switch step last @UsukiDoll

freckles
 one year ago
Best ResponseYou've already chosen the best response.2but a linear example is not the best example to show why

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0By the way @Barrelracing you look wonderful.
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