If `f` is a function such that `f(0)=2,f(1)=3,a n df(x+2)=2f(x)-f(x+1)` for every real `x ,` then `f(5)` is 7 (b) 3 (c) 1 (d) 5

If f is a function such that f(0)=2,f(1)=3,a n df(x+2)=2f(x)-f(x+1) for every real x , then f(5) is 7 (b) 13 (c) 1 (d) 5

If f: RvecR is an odd function such that f(1+x)=1+f(x) and x^2f(1/x)=f(x),x!=0 then find f(x)dot

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

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

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

A function is defined by f(x)=2x-3 Find (f(0)+f(1))/(2) .

If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f(c)=-1,f(d)=2, f(e)=0 where a < b < c < d e, then the minimum number of zeroes of g(x) = f'(x)^2+f''(x)f(x) in the interval [a, e] is

Consider the real function f(x) =1 -2x find f(-1) and f(2)

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0