Converting functions (1 Viewer)

[mtsmahia]

Hi guys,

just wandering if anyone can help me with the following function.

Q) Sketch x/x+1

i know u can convert it into y=1- (1/x+1) , which in effect makes it much easier to sketch..

my Q is how do u convert the original function into y=1- (1/x+1)

THANKS !!

 

[lychnobity]

Hi guys,

just wandering if anyone can help me with the following function.

Q) Sketch x/x+1

i know u can convert it into y=1- (1/x+1) , which in effect makes it much easier to sketch..

my Q is how do u convert the original function into y=1- (1/x+1)

THANKS !!

Add 1/x+1 to the function, and minus 1/x+1

So now you end up with something like

x+1/x+1 - 1/x+1 = 1 - 1/x+1

btw, you're not meant to know this in 2u maths.

 

[mtsmahia]

Add 1/x+1 to the function, and minus 1/x+1

So now you end up with something like

x+1/x+1 - 1/x+1 = 1 - 1/x+1

btw, you're not meant to know this in 2u maths.

umm...i dont really get it?

i get x+1-1/x+1

 

[EvoRevolution]

THis is a hyperbola in the 2nd and 4th quadrant, which is shifted to the left 1 unit and shifted up 1 unit

 

[mtsmahia]

THis is a hyperbola in the 2nd and 4th quadrant, which is shifted to the left 1 unit and shifted up 1 unit

ohh right...but if u split that way, then shudnt it be

x/x+1 + 1/x+1 -1/x+1 ??

 

[Timothy.Siu]

ohh right...but if u split that way, then shudnt it be

x/x+1 + 1/x+1 -1/x+1 ??

thats equivilent.