1.If `f(x)=((x^(2)-4)/(x-2))`,then `f(2)` is
(a) `0`
(b) `2`
(c) `4`

If f(x)=(x-4)/(2sqrt(x)),backslash then f'(1) is (5)/(4) b.(4)/(5) c.1 d.0

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)=(2^(x)+2^(-x))/(2), then f(x+y)f(x-y) is equals to (1)/(2){f(2x)+f(2y)}(b)(1)/(2){f(2x)-f(2y)}(c)(1)/(4){f(2x)+f(2y)}(1)/(4){f(2x)-f(2y)}

If f(x)=x^(3)+3x^(2)-2x+4, find f(-2)+f(2)-f(0)

If f(x)=int(x^(8)+4)/(x^(4)-2x^(2)+2)dx and f(0)=0, then (a) f(x) is an odd function (b) f(x) has range R(c)f(x) has at least one real root (d) f(x) is a monotonic function.

Let f:(0,oo)rarrR and F(x)=int_0^x f(t)dt . If F(x^2)=x^2(1+x) , then f(4)= (A) 5/4 (B) 7 (C) 4 (D) 2

If f(x)=cos(log x), then value of f(x)f(4)-(1)/(2){f((x)/(4))+f(4x)} is (a) 1(b)-1(c)0(d)+-1

Let f(x) be differentiable for real x such that f'(x)>0 on (-oo,-4)f'(x) 0 on (6,oo) If g(x)=f(10-2x), then the value of g'(2) is a.1 b.2 c.0 d.4

Let f(x+y)=f(x).f(y) for all x and y and f(1)=2. If in as triangle ABC, a=f(3), b=f(1)+f(3), c=f(2)+f(3), then 2A= (A) C (B) 2C (C) 3C (D) 4C