anonymous
  • anonymous
Match the following 1-1 functions with its inverse. x+5/7 x-7/3
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
Match the following 1-1 functions with its inverse.
imqwerty
  • imqwerty

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anonymous
  • anonymous
Match the following 1-1 functions with its inverse. x+5/7 x-7/3 @vera_ewing
anonymous
  • anonymous
if 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 Here is an example: \[y=x+a \\ \text{ Subtract } a \text{ on both sides } \\ y-a=x \\ \text{ or other way around } x=y-a \\ \text{ then you can interchange } x \text{ and } y \\ y=x-a \text{ this is the inverse of } y=x+a\] it appears you multiply 5/7 on left hand side y-5/7=x? yes your a=5/7 \[y=x+\frac{5}{7} \\ \text{ subtract} \frac{5}{7} \text{ on both sides } \\ y-\frac{5}{7}=x \\ x=y-\frac{5}{7}\] yep now just interchange x and y replace x with y and y with x y= x+5/7 switch the x and the y and then solve for y \[y=x-\frac{5}{7}\] you can solve for x then switch but either way here is another example of finding inverse of a linear function \[y=\frac{x+5}{7} \\ \text{ multiply both sides by } 7 \\ 7y=x+5 \\ \text{ then subtract} 5 \text{ on both sides } 7y-5=x \\ \text{ now interchange } x\text{ and } y \\ 7x-5=y \\ y=7x-5 \text{ is the inverse of } y=\frac{x+5}{7}\]

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