Home
Class 12
MATHS
Given that f'(x) > g'(x) for all real x...

Given that `f'(x) > g'(x)` for all real `x, and f(0)=g(0)`. Then `f(x) < g(x)` for all x belong to `(a) `(0,oo) (b) `(-oo,0)` (c) `(-oo,oo)` (d) `none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Given that f(x) gt g(x) for all x in R and f(0) =g(0) then

If f(x+y)=f(x).f(y) for all real x,y and f(0)!=0, then the function g(x)=(f(x))/(1+{f(x)}^(2)) is:

If f(g(x)) = g(f(x)) = x for all real numbers x, and f(2) = 5 and f(5) = 3, then the value of g(3)+ g(f(2)) is

f'(x)=g(x) and g'(x)=-f(x) for all real x and f(5)=2=f'(5)thenf^(2)(10)+g^(2)(10) is

Q.5 If f(g(x))=g(f(x))=x for all real numbers x, and f(2)=5 and f(5)=3, then the value g(3)+g(f(2)) is

Let f(x+y)=f(x)+f(y) for all real x,y and f'(0) exists.Prove that f'(x)=f'(0) for all x in R and 2f(x)=xf(2)

If f(x+y)=f(x)*f(y) for all real x,y and f(0)!=0, then prove that the function g(x)=(f(x))/(1+{f(x)}^(2)) is an even function.

If f'(x)=g(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2) then f''(24)+g''(24) is