If `f(3x+2)+f(3x+29)=0x in R ,` then the period of `f(x)` is 7 (b) 8 (c) 10 (d) none of these

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

If f(x)=sqrt(x^(2)-10x+25), then the derivative of f(x) in the interval [0,7] is (a) 1 (b) -1( c) 0 (d) none of these

If f(x)=|x-3| and g(x)= fof (x), then for x>10,g'(x) is equal to (a)1(b)-1(c)0 (d) none of these

If 2f(x)-3f((1)/(x))=x^(2)(x!=0), then f(2) is equal to (a)-(7)/(4)(b)(5)/(2)(c)-1 (d) none of these

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If f(x) is a polynomial satisfying f(x)f((1)/(x))=f(x)+f((1)/(x)) and f(3)=28, then f(4) is equal to 63 (b) 65 (c) 17 (d) none of these

If f(x)=7x-8, then f'(3)=

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

Let f(x) be a continuous function in R such that f(x)+f(y)=f(x+y) , then int_-2^2 f(x)dx= (A) 2int_0^2 f(x)dx (B) 0 (C) 2f(2) (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