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Intersection points between two curves

Hi I'm puzzled on a question could anyone help?

The area formed by two functions:

F1(x)=1/x-2 f2=4x-x^2

question?
show that the intersection points between the two curves f1(x) and f2(x) are solutions to the equation;
X=1/(x-2)(4-x)
Reply 1
here`s a graphic, if it helps...

(the area will be the part past x=2..where both curves intersect.

(they`ve just factored f_2, equated them, and divided by (4-x)
(edited 9 years ago)
Original post by Lowedaz
Hi I'm puzzled on a question could anyone help?

The area formed by two functions:

F1(x)=1/x-2 f2=4x-x^2

question?
show that the intersection points between the two curves f1(x) and f2(x) are solutions to the equation;
X=1/(x-2)(4-x)


The curves intersect when the functions are equal

Set them equal and do a bit of rearrangement
Reply 3
ic already done it I clicked on after I wrote this but thank you for your help
(edited 9 years ago)

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