can soemone please help me with part (c)? i think we're supposed to use the previous working to find the domain but i cant figuire out how?
2) in question 3, i dont understand how we get the upper restriction of the discriminant? like, how do we know its supposed to be less than 25?
1) Part c is separate from part b, so you just look at the maximum and minimum values of f(x) rather than g(x). Therefore x is between -ve infinity and -2 and between 3 and infinity.
2) You rearrange the formula to create a quadratic function, and then use the quadratic formula to find the discriminant of the equation. Since 5 is the coefficient of the second term, then the discriminant is 5
2-(4 times the coefficient of the first term times the coefficient of the third term). That's where the 25 comes from.
Hope this helps!