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

Question

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

anonymous · Answer

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 · Answer

last step

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

tutor?  :)

anonymous · Answer

question answerer?

amistre64 · Answer

free helper that is prone to error ;)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

sorry if you felt I was blaiming

amistre64 · Answer

no feelings hurt :)

anonymous · Answer

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

amistre64 · Answer

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 · Answer

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

anonymous · Answer

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

anonymous · Answer

Yeah I know that's the same thing.

amistre64 · Answer

:)  im glad it worked for you  :)

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

have you tried yelling at it?  :)

anonymous · Answer

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