Question

find all real numbers if any that are fixed points for the givem functions.

F(t)=t^2-t-1

Answer 1

do you know what a fixed point means?

Answer 2

can you show your work

Answer 3

yes

Answer 4

n

Answer 5

alright, tell me.

Answer 6

It is the point that intersects

Answer 7

you have to be clearer than that,

Answer 8

a point on the x or y axis

Answer 9

or when two lines intersect

Answer 10

okay. a fixed point is a point such that F(n) = n.

Answer 11

that is were I start to get confused

Answer 12

So F(t)=t

Answer 13

yes.
we know that F(t) = t^2-t-1.
therefore t^2-t-1 = t. solve for t and you have your points.

Answer 14

can you walk me through that?

Answer 15

(t-t)(t-1)

Answer 16

it is an equation. what is your right hand side?

Answer 17

t^2-t-1

Answer 18

no.
you had
t^2-t-1 = t
that is an equation.
subtract t from both sides. what do you get?

Answer 19

0=t^2-2t-1

Answer 20

0=(t+1)^2