Let `f(x)=(x-a)^2+(x-b)^2+(x-c)^2` . Then, `f(x)` has a minimum at `x=` `(a+b+c)/3` (b) `3sqrt(a b c)` (c) `3/(1/a+1/b+1/c)` (d) none of these

Let f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) Then,f(x) has a minimum at x=(a+b+c)/(3) (b) 3sqrt(abc)(c)(3)/((1)/(a)+(1)/(b)+(1)/(c))( d) none of these

Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a+b+c)/3 (b) 1/2 (c) 1/8 (d) none of these

Let f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) Then,f(x) has a minimum at x=(a+b+c)/(3)(b)(1)/(2) (c) (1)/(8) (d) none of these

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

If f(x)=x^3+b x^2+c x+d and 0 < b^2 < c , then f(x) is

If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) , then f^(prime)(x) is equal to: (a) 1 (b) 0 (c) x^(a+b+c) (d) None of these