Let $f\left(x\right)\text{and}g\left(x\right)$ be two differentiable functions, defined as:
${f\left(x\right)}^2=x^2+xg\text{'}\left(1\right)+g\text{'}\text{'}\left(2\right)\text{and}g\left(x\right)=f\left(1\right)x^2+xf\text{'}\left(x\right)+f\text{'}\text{'}\left(x\right).$
The number of integers in the domain of the function $F\left(x\right)=\sqrt{-\frac{f\left(x\right)}{g\left(x\right)}}+\sqrt{3-x}$ is:

Let f (x) = lim (n to oo) n ^(2) tan (ln(sec""(x)/(n )))and g (x) = mi...

Let f (x) and g (x) be two differentiable functions, defined as: f (...

Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{:...

Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{...

Consider a function defined in [-2,2] f (x)={{:({x}, -2 lle x lt -1)...

Consider a function defined in [-2,2] f (x)={{:({x}, -2 le x lt -1),...

Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

Let f :R to R be a continous and differentiable function such that f (...

Let f :R to R be a continous and differentiable function such that f (...

Let f :R to R be a continous and differentiable function such that f (...

f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

Let f (x) (cos ^(2) x)/(1+ cos +cos ^(2)x )and g (x) lamda tan x+1(1-l...

f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...