let `g(x) = [ asqrt(x+), 0< x< 2; bx+2, 2<= x<5` if `g(x)` is derivable on `(0,5)` then find `2a+b`

Let f(x) =[{:(asqrt(x+1),0lt xlt3),(bx +2, 3lexlt5):} if f(x) is differentiable at x=3 then find the values of a and b.

If g(x)=asqrt(a(1-x)) Function g is defined by the equation above. If g(-8)=375 , what is the value of a?

Let f(x) = e^(x)g(x) , g(0)=2 and g (0)=1 , then find f'(0) .

Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x gt 0):} , then (f(g(2009)))/(g(f(2009)) =

let f(x) = { g(x).cos(1/x) if x!= 0 and 0 if x= 0 , where g(x) is an even function differentiable at x= 0 passing through the origin then f'(0)

Let g(x)=1+x-[x] and f(x)=-1 if x 0, then f|g(x)]=1x>0