- #1

sonya

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if ur given a function f(x) and ur asked to find f^-1(y)....r u supposed 2 solve ur original eqn for y and then take the inverse of that? or isnt that just the same thing neways?....

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- Thread starter sonya
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sonya

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- #2

HallsofIvy

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Anyway-

I don't know exactly how you have been taught to find inverse functions- there are several ways to arrive at the same result.

The way I like is this: Swap x and y.

Yes, that's it: If f(x)= y then f

If f(10)= 0 then f

If f(x) is given by y= f(x)= 3x- 4 then the inverse function is given by x= 3y- 4.

Oh, there is one

Since we prefer to write f(x)= ... or f

you might want to solve for y!

Since x= 3y- 4, 3y= x+ 4 and y= f

Notice the key point: what f(x) "does", f

Where f(x) is "multiply by 3 then add 4", f

Of course, you can't always "solve" for the inverse function.

If f(x)= e

- #3

sonya

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Originally posted by HallsofIvy

Since x= 3y- 4, 3y= x+ 4 and y= f^{-1}(x)= (x+4)/3.

ok..i think i understand now but a quick question

where x = 3y -4 that can also be called f

- #4

sonya

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o..never mind that question...i get it now

thx a lot!

thx a lot!

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