Let `f(x)={x^2 , x lt -1 and -x ,-1 leq x le 0 and kx^2+p, x gt 0}` , then for what value of `(k,p),f(x)` has a minimum

Let f(x)={x^(2),x 0} ,then for what value of (k,p),f(x) has a minimum

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Let g(x)= f(x) +f'(1-x) and f''(x) lt 0 ,0 le x le 1 Then

If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x le 1),(x-1",",-3 lt x lt-1):} then find the values of (v) f(-5)

If F(x)= {(Kx^(2) if x le 2),(3 if x gt 2):} is continuous at x = 2, then the value of K is

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

Let f(x)={{:(x^(2) sin ((pix)/(2)),-1 lt x lt 1, x ne 0),(x|x|, x gt 1 or x le -1):} . Then ,

Let f(x)={{:(x^(2) sin ((pix)/(2)),-1 lt x lt 1, x ne 0),(x|x|, x gt 1 or x le -1):} . Then ,

Let f(x) = {{:(-1,-2 le x lt 0),(x^2-1,0 le x le 2):} and g(x)=|f(x)|+f(|x|) . Then , in the interval (-2,2),g is

Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le x lt x//2) , (1 + cos x ,, pi //2 le x le x ):} then f(x) has