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4) Find the inverse of f(x)=1+3x/5- x is not equal to 5/2 2)Find all the zeros o

ID: 3427802 • Letter: 4

Question

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_________________________________

Explanation / Answer

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)

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