SOLUTION: Let f(x) =2x-3 find f-1, ff-1(x), ff-1(4)
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Question 1191974: Let f(x) =2x-3 find f-1, ff-1(x), ff-1(4)
Found 2 solutions by Solver92311, greenestamps:
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
To find the inverse of a function )
:
1. Replace with a dependent variable such as 
2. Solve for the independent variable (
) in terms of the dependent variable.
3. Interchange the variables, that is, swap for and for
4. Replace the dependent variable with )
John
My calculator said it, I believe it, that settles it
From
I > Ø
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
f(x)=2x-3
(1) Find f^(-1)(x)
There is a simple method for finding the inverse of a simple function like this, using the idea that an inverse function "un-does" what the function does.
The given function does the following to the input:
.. multiply by 2; and
.. subtract 3
The inverse function, to undo that the function does, must perform the opposite operations in the opposite order:
.. add 3; and
.. divide by 2
ANSWER: f^(-1)(x) = (x+3)/2
(2) By the definition of an inverse function, f(f^(-1)(x))=x
(3) Likewise, f(f^(-1)(4))=4
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