If `f(xy) = f(x) f(y),` then `f(t)` may be of the form (a) `t + k` (b) `ct +K` (C) `t^k + C` (d) `t^k` where `k` is a constant.

If f(x)f[xy]=f[x]f[y] then f[t] may be of the form:

If f (x) = k, where k is constant then int k dx =0

If F(x) = k where 'k' is constant then Delta^2f(x)=?

Prove that the constant function f (x)= k, where k is a constant, is continuous

In the xy-plane the point (2,5) lies on the graph of the function f. IF f(x) = k-x^2 where k is a constant, what is the value of k?

Let f'(x) exists for all x!=0 and f(xy)=f(x)+f(y) for all real x,y. Prove that f(x)=k log x where k is aconstant.

If k int _(0)^(1)x.f(3x)dx = int_(0)^(3) t. f(t)dt , then the value of k is

If f(x)=x^2+k where k is a real number then f(x)gek,AAx in R, the minimum value of f(x)=k. If f(x)=k+x^2 where k is a real number and f(x)lek,Aax in R , then maximum value of f(x)=k.

For a double diferentiable function f(x) if f''(x) ge 0 then f(x) is concave upward and if f''(x) le 0 then f(x) is concave downward if f(x) is a concave upward in [a,b] and alpha , beta in [a,b] the (k_(1)(alpha)+k_(2)f(beta))/(k_(1)+k_(2)) ge f((k_(1) alpha +k_(2)beta)/(k_(1)+k_(2))) where K_(1)+K_(2) in R if f(x) is a concave downward in [a,b] " and "alpha, beta in [a,b] " then "(k_(1)(alpha)+k_(2)f(beta))/(k_(1)+k_(2)) le f((k_(1) alpha +k_(2)beta)/(k_(1)+k_(2))) where k_(1)+k_(2) in R then answer the following : Which of the following is true