Please Help Arrange the equations in the correct sequence to find the inverse of f(x)=y=x-4/33-x
@Hoslos
THw first step is to replace x with y. Second step is to make y the subject of the formula.
Tiles: Sequence: 33-xy=y-4 -> 33x+4=y(1+x) -> 33x-xy=y+4 -> 33x +4 = y+xy -> y=f^(-1)(x)= 1+x/ 33x+4 -> 33x- xy=y+4 -> x=y-4/33-y ->
You made a mistake in the beginning, where it was supposed to be 33y not just 33.
Thats how it is on my test /:
\[x=\frac{ y-4 }{ 33- y}\rightarrow y-4=33x-xy\] \[y+yx=33x+4\rightarrow y(1+x)=33x+4\]\[y=f ^{-1}(x)=\frac{ 33x+4 }{ 1+x }\]
So, as I said, I initially replaced y with x and made y the subject.
Okay thank you, but im missing the last one that goes in the sequence /:
You mean the whole sequence you post it or the last line of your sequence?
The last line
Its okay you tried helping me I appreciate it!(: @Hoslos
I know that , but I also want to make sure you do not hold doubts in your brain. I know the answer for the last line though. It is the substitution of x into y. From which if you make y the subject, you shall get the answer of inverse, which was the one I found.
Hope that satisfied.
Thank you! and yes it does help a lot!!!(: @Hoslos
Glad to hear.
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