I got help for this problem before, but just checked and it's not correct.
What am I doing wrong with this problem?
f(x)=3sqrt(5-x)+3
y=3sqrt(5-x)+3
3sqrt(5-x)=y-3
(3sqrt(5-x)^3=(y-3)^3
5-x=(y-3)^3
x=-(y-3)^3-5

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- anonymous

- jamiebookeater

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- anonymous

y = 3rt(5-x) + 3 ; i assume you wanna invert it
x = (5-y)^(1/3) + 3
x-3 = (5-y)^(1/3)
(x-3)^3 = 5-y
(x-3)^3 -5 = -y
-(x-3)^3 +5 = y

- anonymous

last step

- anonymous

This is the help I got, but it's still not correct.

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## More answers

- anonymous

y = 3rt(5-x) + 3 ;
x = (5-y)^(1/3) + 3
These two are not same! even not inverses of each other!

- anonymous

I was confused with that. that's what the other tutor person on here sent me.

- amistre64

tutor? :)

- anonymous

question answerer?

- amistre64

free helper that is prone to error ;)

- anonymous

I tried to send you a message but you werent on anymore

- anonymous

You're fine to be wrong, I just want to know what I'm doing.

- anonymous

Inverse of f(x)=3rt(5-x)+3
is g(x)=5-(x-3)^3

- anonymous

sorry if you felt I was blaiming

- amistre64

no feelings hurt :)

- anonymous

I put that and it told me that there was a syntax error

- amistre64

y = cbrt(5-x) + 3 ; we can usually find the inverse by swapping x and y ; and resolving for y.
x = cbrt(5-y) +3
x-3 = cbrt(5-y) ; ^3 each side...
(x-3)^3 = 5-y ; +y and -(x-3)^3 to both sides
y = 5 -(x-3)^3 which is exaclty the same as:
y = -(x-3)^3 + 5 which sauhkik says aint the solution lol

- amistre64

cbrt(5-y) = (5-y)^(1/3) they are the exact same thing..

- anonymous

Ok, I tried it again and it was happy with it. I must have typed that one wrong or something.

- anonymous

Yeah I know that's the same thing.

- amistre64

:) im glad it worked for you :)

- anonymous

:) this online hmwk may be the end of me..... :p

- amistre64

programs can be sticklers for "do it exactly like i say" mentality lol

- anonymous

It also gets unhappy when simplifying raticals... took me forever figure that one out.

- amistre64

have you tried yelling at it? :)

- anonymous

haha, yeah that has happend. the little thinking dudes in my computer dont seem to hear me....

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