" Let "f(x)={[ax^(2)+1,x>1],[x+(1)/(2),x<=1]" .Then "f(x)" is derivable at "x=1" ,if "

Let f(x)={ax^(2)+1,x>1x+(1)/(2),x<=1. then ,f(x) is derivable at x=1, if a=2( b) a=1( c) a=0 (d) a=(1)/(2)

Let f(x)=x^(2)-x+1, AA x ge (1)/(2) , then the solution of the equation f(x)=f^(-1)(x) is

Let f(x)=x^(2)-x+1, AA x ge (1)/(2) , then the solution of the equation f(x)=f^(-1)(x) is

Let f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then |f(2.9)^(1//3)|= ___________

Let f(x)=x+(1)/(2)x+(1)/(2)x+(1)/(2)x+......oo Compute the value of f(100).f'(100)

Let f(x)=x^(2)- x+1, x ge 1//2 , then the solution of the equation f^(-1)(x)=f(x) is

Let f(x)=(ax^(2)+2x+1)/(2x^(2)-2x+1) FIdn the value of a if f:R rarr[-1,2] is onto

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-