4 Find the inverse of fx13x5x is not equal to 52 2Find all t
4) Find the inverse of f(x)=1+3x/5-x is not equal to 5/2
2)Find all the zeros of the polynomial and write the polynomial in factored form. ( 14 points)
Use Descartes rule of sign to determine how many positive and how many negative zeros the polynomial can have.
Write the polynomial in factored form P(x) = x4 – 5x3 -23x2 – 5x -24 Hint : 8 or -8 is a zero!
a) Number of positive real zeros____________________________
b) Number of Negative real zeros_____________________________
c) Total real zeros_________________________________
Solution
f(x)=(1+3x)/(x-5)
y= (1+3x)/(x-5)
switching x and y
x=(1+3y)/(y-5)
xy-5x=1+3y
xy-3y=1+5x
y(x-3)=1+5x
y=(1+5x)/(x-3)
f-1(x)= (1+5x)/(x-3)
