Prelim 2016 Maths Help Thread (1 Viewer)

Status
Not open for further replies.

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,166
Gender
Male
HSC
2006
Um...well....idk but that's my personal preference

Sketch on one graph y=f(x) and y=f^-1(x): make sure the diagrams are to scale for

f(x)=-ln (x+1)
Do you know how to sketch a log graph in the first place?

Also do you know how to find the equation of an inverse function?

Do you know the relationship between the graph of a function and a graph of its inverse?
 
Last edited:

eyeseeyou

Well-Known Member
Joined
Nov 20, 2015
Messages
4,125
Location
Space
Gender
Undisclosed
HSC
N/A
Do those really annoying 3D trig problems ome up again in the HSC 3 unit course or 4 unit course?
 

eyeseeyou

Well-Known Member
Joined
Nov 20, 2015
Messages
4,125
Location
Space
Gender
Undisclosed
HSC
N/A
Tried this inverse function and can't solve it

FInd the inverse function of 8(x-1)^3 and find the domain and range of the inverse function

Same with this one: y=5+ squareroot of (3-x)
 

leehuan

Well-Known Member
Joined
May 31, 2014
Messages
5,805
Gender
Male
HSC
2015
Bump

Do you know how to sketch a log graph in the first place?

Also do you know how to find the equation of an inverse function?

Do you know the relationship between the graph of a function and a graph of its inverse?
 

eyeseeyou

Well-Known Member
Joined
Nov 20, 2015
Messages
4,125
Location
Space
Gender
Undisclosed
HSC
N/A
Do those really annoying 3D trig problems ome up again in the HSC 3 unit course or 4 unit course?
Tried this inverse function and can't solve it

FInd the inverse function of 8(x-1)^3 and find the domain and range of the inverse function

Same with this one: y=5+ squareroot of (3-x)
Some1 plz answer these 2/3 Q's
 

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,166
Gender
Male
HSC
2006
Can't quite remeber how to sketch a log graph

YEah you just switch the x and y around and carry yuor restriction throughout

um...yeah
Have you looked through your notes or textbook again to see how to sketch it?

Okay, so using that information what is the equation of the inverse function of y=-ln(x+1)?

Have you looked through your notes or textbook again to see what that important graphical relationship is?
 

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,166
Gender
Male
HSC
2006
Some1 plz answer these 2/3 Q's
Ok lets start with y=8(x-1)3

You said earlier to swap the x and y to find the inverse function. Do you know how to do that for y=8(x-1)3?

Also do you know how to find the domain and range of that function?
 
Last edited:

eyeseeyou

Well-Known Member
Joined
Nov 20, 2015
Messages
4,125
Location
Space
Gender
Undisclosed
HSC
N/A
Ok lets start with y=8(x-1)3

You said earlier to swap the x and y to find the inverse function. Do you know how to do that for y=8(x-1)3?

Also do you know how to find the domain and range of that function?
DW already know how to do it

SO you are given y=8(x-1)^3

Divide both sides by 8

y/8=(x-1)^3

Then you expand the RHS

Wait...I can't remeber lol

Wait...

Switch x and y around and now its x/8=(y-1)^3

Then you cube root both sides and its: ______________

Then y=________________ +1
 
Last edited:

Trebla

Administrator
Administrator
Joined
Feb 16, 2005
Messages
8,166
Gender
Male
HSC
2006
DW already know how to do it

SO you are given y=8(x-1)^3

Divide both sides by 8

y/8=(x-1)^3

Then you expand the RHS

Wait...I can't remeber lol
The fact that you don't know how to make x the subject and want to do 4U is a little concerning
 

eyeseeyou

Well-Known Member
Joined
Nov 20, 2015
Messages
4,125
Location
Space
Gender
Undisclosed
HSC
N/A
DW already know how to do it

SO you are given y=8(x-1)^3

Divide both sides by 8

y/8=(x-1)^3

Then you expand the RHS

Wait...I can't remeber lol

Wait...

Switch x and y around and now its x/8=(y-1)^3

Then you cube root both sides and its: ______________

Then y=________________ +1
Read this
 
Status
Not open for further replies.

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top