Let `f(x)={(x^(2)-4x+3",",x lt 3),(x-4",", x ge 3):}`
`and g(x)={(x-3",",x lt 4),(x^(2)+2x+2",",x ge 4):}`
Then which of the following is/are true?

Let f(x)={{:(x^(2)-4x+3",", x lt 3),(x-4",", x ge 3):} and g(x)={{:(x-3",", x lt 4),(x^(2)+2x+2",", x ge 4):} , which one of the following is/are true?

Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",",x ge 3):} and g(x)={(x-3",",x lt 4),(x^(2)+2x+2",",x ge 4):} . Describe the function f//g and find its domain.

Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",",x ge 3):} and g(x)={(x-3",",x lt 4),(x^(2)+2x+2",",x ge 4):} . Describe the function f//g and find its domain.

f(x)={(log_(e)x",",0lt x lt 1),(x^(2)-1 ",",x ge 1):} and g(x)={(x+1",",x lt 2),(x^(2)-1 ",",x ge 2):} . Then find g(f(x)).

If f(x) ={(x^(3)", " x lt1),(2x-1", " x ge 1):} " and " g(x)={(3x", " x le2),(x^(2)", " x gt 2):} " then find " (f-g)(x).

Let f(x)={x^2-4x+3,x<3x-4,xgeq3 a n dg(x)={x-3,x<4x^2+2x+2,xgeq4 then which of the following is/are true? (f+g)(3. 5)=0 f(g(3))=3 (fg)(2)=1 (d) (f-g)(4)=0

Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}

Let f (x) = {{:(min (x"," x ^(2)), x ge 0),( max (2x "," x-1), x lt 0):}, then which of the following is not true ?

Let f (x)=[{:((3x-x ^(2))/(2),,, x lt 2),([x-1],,, 2 le x lt 3),( x ^(2) -8x+17,,, x ge3):}: then which of the following hold(s) good ?

Let f(x)={(2x+a",",x ge -1),(bx^(2)+3",",x lt -1):} and g(x)={(x+4",",0 le x le 4),(-3x-2",",-2 lt x lt 0):} g(f(x)) is not defined if