SOLUTION: hi, i am needing help with this question from a hand out.. f:R to R is defined by f(x)=2x+1 then f^-1= i came up with 2x-1 as my answer..can you help verify? thanks

Question 74163: hi, i am needing help with this question from a hand out..
f:R to R is defined by f(x)=2x+1 then f^-1=

i came up with 2x-1 as my answer..can you help verify? thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First switch the x and y variables
-> and then solve for y to find the inverse function

Divide both sides by 2
There's the inverse function.

To check this let x=1 and plug it into the original equation

Take this answer and plug it into the inverse function

Since you got the number you originally plugged in (which was 1) this shows us that this is the inverse function.

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