Question

Find a linear function f(x)=mx+b so that f(f(x))=4x+6. Assume the slop is negative.

Answer 1

\[
f(f(x))= mf(x) + b= m( mx +b ) +b= m^2 x + m b + b= 4 x + 6
\]
Can you finish it?

Answer 2

\[
m^2 =4\\
m= -2 \text { slope negative}
m b + b =6\\
-2 b + b =6\\
-b =6\\
b=-6

\]

Answer 3

yea i got that far but couldnt see past that
please help!

Answer 4

oooooooooooooohhhhhhhh! Thank you!!!!!

Answer 5

\[
m^2 =4\\
m= -2 \text { slope negative}\\
m b + b =6\\
-2 b + b =6\\
-b =6\\
b=-6

\]

Answer 6

yw