Which of the following statements is true for every
linearfunction f? prove your answer.
a) if x1 and x2 are linearlyindependent,
then so are f(x1) andf(x2).
b) if f(x1) and f(x2) are
linearlyindependent, then so are x1 and
x2.

answer is

c) 4

step-by-step explanation:

correct answers below:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.