Given the functions, f(x) = 2x 2 + 2 and g(x) = 3x + 1, perform the indicated operation. when applicable, state the domain restriction. (f-g)(x) 2x^2- 3x + 1 2x^2 - 3x + 3 5x^3 + 2x^2 + 2 6x^3 + 6x + 3

In this question, the given functions are

And we have to find the value of

Which is equal to

So we have to subtract the two functions that is

Correct option is the second option .

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.