Find all 'm' for which `f(x) =x^2-(m-3)x+m >0` for all values of 'x' in `[1,2]`

Find the values of 'm' for which (m2)x^(2)+8x+m+4>0 for all real x .

Find all values of 'm' which (2m-3)x^(2)+2mx+4 lt 0 for all real x.

Find all values of 'm' which (2m-3)x^(2)+2mx+4 lt 0 for all real x.

Find all values of 'm' which (2m-3)x^(2)+2mx+4 lt 0 for all real x.

Find all values of 'm' which (2m-3)x^(2)+2mx+4 lt 0 for all real x.

The smallest value of the constant m>0 for which f(x)=9mx-1+(1)/(x)>=0 for all x>0, is

The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 + (1)/(x)ge 0 for all x gt 0 , is

Consider a real-valued function defined by the relation f(x+2y)=f(x)+mf(y)AAquad m!=0 for all values of x and y .If f'(0)=3 and f(2)= 4 then find the value of 4m .