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December 20, 2014

December 20, 2014

Posted by **Betty** on Wednesday, January 14, 2009 at 11:50pm.

I need to find the inverse, and I am wonderingif the inverse is x= 2y or f-1 = x/2????

- algebra 2 -
**Chopsticks**, Thursday, January 15, 2009 at 12:38amif u have the calculator isnt the inverse buttom -1

- algebra 2 -
**Reiny**, Thursday, January 15, 2009 at 9:09amto find the inverse of a function takes 2 steps

1. interchange the x and y variables

so y = 2x becomes x = 2y

2. Solve this new equation for y

2y = x

y = x/2

so you are correct.

for linear function of the type f(x) = mx + b

it is easy to form the inverse mentally by just "reversing" the steps and operations.

e.g. y = 3x -5

the inverse would be y = (x+5)/3

for the first, after picking any x,

we multiplied by 3 then subtracted 5

for the second, after picking any x,

we added 5 and then divided by 3

notice that not only did we perform the inverse operations, but we also performed those inverse operations in reverse order.

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