Question

Find the linear function f with y-intercept -3 and f -1 (-2) = -4.

Answer 1

does this mean \[f(x)=mx -3\] and \[f^{-1}=-4\]?

Answer 2

now u hav to find apoint in the line f(x), for this just exchange the (x,y) values in finverse to get the point. as in the point lying on the line is (-4,-2). so u get the equation as y=-x/4-3.

Answer 3

if so you have two points on the line, (0,-3) and (-4,-2)

Answer 4

find the slope and you get the answer brackett gave.

Answer 5

same as before!

Answer 6

you just interchanged the _2 and -4 for x and y - correct/

Answer 7

so the slope is -1/4?

Answer 8

yea...one concept about linear functions and its inverse. if a point (a,b) lies on f(x) then the point (b,a) will lie on f-1(x) f inverse. with this u can find the points and proceed :)

Answer 9

I got y=(-1/4)x -3

Answer 10

done :)

Answer 11

thanks!