If the minimum value of f(x)=ax2+2x+5, a>0 is equal to the maximum value of g(x)=3+2x−x2, then the value of ′a′ is
Find the largest natural number 'a' for which the maximum value of f(x)=a-1 + 2x - x2 is smaller than the minimum value of g(x)= x2 -2ax +10-2a.
If f(x)=5x+23x−5 and g(x)=x2−2x−1, then the value of g(f(f(3))) is