Let `f(x)=3x^(2)-7x+c,x>(7)/(6)` ,The value of c such that `f(x)` touches `f^(-1)(x)` is `(5k+1)/(k)` where `k=`

Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Then the value of [c] such that f(x) touches f^(-1)(x) is (where [.] represents greatest integer function)_________

Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Then the value of [c] such that f(x) touches f^(-1)(x) is (where [.] represents greatest integer function)_________

If f(x)= x^(3)-kx^(2)+2x and f(-x)= -f(x), the value of k is_

Let f(x)=(5x+6)/(7x+9) then, f^-1(x) =?

If f(x)=2x^(3)-3x^(2)+1 then number of distinct real solution (s) of the equation f(f(x))=0 is/(are) k then (7k)/(10^(2)) is equal to_______

If f(x)=(2x)/(5)+(7)/(3), f^(-1)(x)=

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

Let f(x)=3x^10-7x^8+5x^6-21x^3+3x^2-7 , then the value of lim_(h->0) (f(1-h)-f(1))/(h^3+3h)

Let a function f be even and integrable everywhere and periodic with period 2. Let g(x)=int_0^x f(t) dt and g(t)=k The value of g(2) in terms of k is equal to (A) k (B) 2k (C) 3k (D) 5k

The function f(x) is defined as follows: {:(,f(x) = x^(2) -1 , if x le 3),(,f(x) = 2x + 2 , if 3 lt x le 9),(,f(x) = 4x - 8, if x gt 9):} What is the value of k if f(f(f(3))) = (k+1)^(2) where k is positive integer ?