Let `f(x)` be continuous functions `f: RvecR` satisfying `f(0)=1a n df(2x)-f(x)=xdot` Then the value of `f(3)` is `2` b. `3` c. `4` d. 5

Let f: RvecR be a continuous function which satisfies f(x)= int_0^xf(t)dtdot Then the value of f(1n5) is______

Let f be a continuous function satisfying f '(I n x)=[1 for 0 1 and f (0) = 0 then f(x) can be defined as

Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Then the value of f(21) is 16 21 64 105

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, then find the value of int_0^a(dx)/(1+f(x))

The function of f is continuous and has the property f(f(x))=1-xdot Then the value of f(1/4)+f(3/4) is

The function of f is continuous and has the property f(f(x))=1-xdot Then the value of f(1/4)+f(3/4) is

Let f(x)a n dg(x) be two continuous functions defined from RvecR , such that f(x_1)>f(x_2)a n dg(x_1) f(g(3alpha-4))

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)