Write a polynomial function Parent function Transformations

Write a polynomial function. Parent function: Transformations: Polynomial Function:

Solution

given log_1/3(x²+x) -log_1/3(x²-x) =-2

logA-logB=log(A/B)

log_1/3 [(x²+x)_/(x²-x)] =-2

[(x²+x)_/(x²-x)] =(1_/3)^-2

[x(x+1)_/x(x-1)] =3²

[(x+1)_/(x-1)] =9

(x+1)=9(x-1)

(x+1)=(9x-9)

9x-x-9-1=0

8x-10=0

2(4x -5)=0

x=5_/4

solution set is 5_/4