Let `f(x)=(x+1)^(2)-2` for `xle-1` and `g(x)=-2+sqrt(x+1)` for `xge-2`. Find g(f(x)) for `xle-1`.

Let f(x) =1/2-tan((pix)/2) , -1

Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x) .

Let f(x) = 3x^(2) + 6x + 5 and g(x) = x + 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x)

Let f(x)=(1)/(x) and g(x)=(1)/(sqrt(x)) . Then,

Let g(x)=2f((x)/(2))+f(1-x) and f'(x)<0 in 0<=x<=1 then g(x)

f(x)={log_(e)x,0

Let f(x)=x^(2)+xg^(2)(1)+g'(2) and g(x)=f(1)*x^(2)+xf'(x)+f''(x) then find f(x) and g(x)

Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1).x^(2)+xf'(x)+f''(x) then

Let f(x) = x^(2) and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f - g) (x), (fg) (x) and ((f)/(g)) (x) .