If `f(x) ={2x-1, if x > 1 and x^2+1 if -1<=x<=1` and if `(f(1) + f(3) + f(x))/(f(2)+f(-1)+f(1/2))= 32/25` then ` x =`

If f(x)=2x-1, " if " x gt1, =x^(2)+1," if " -1 le xle1," then "(f(1)+f(3)+f(0))/(f(2)+f(-1)+f(1//2))=

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x)=3x-1 when x geq1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x)=lim_(n->oo) {2x+4x^3+...+2n x^(2n-1)}, 0 < x< 1 and int f(x) dx = F(x) and F(1/sqrt(2)) = 2, then (i) F(0)=1, (ii) F(1/2)=4/3, (iii) F(0)=-1, (iv) F(-1/2)=4/3

If f(x) = 1 + x + x^(2) + …… for |x| lt 1 then show that f^(-1)(x) = (x-1)/(x) .

If f(x)=ax^(2)+bx+c, f(-1) gt (1)/(2), f(1) lt -1 and f(-3)lt -(1)/(2) , then

If f(x)=ax^(2)+bx+c, f(-1) gt (1)/(2), f(1) lt -1 and f(-3)lt -(1)/(2) , then