If `-7lexlt4` then `x^(2)-6=?`

Let f(x)={[ x+3, if -4lexlt-2],[ 1, if -2lexlt2],[ 3-x, if 2lexle4]} and g(x)={[ x+6, if x lt 0],[ 2x+6, if x gt 0]} , then number of integers in the Range of fog(x) is,

The solution of the equation |x^(2)+6x+7|=|x^(2)+4x+4|+|2x+3| is

If ( [1 , -2 ],[ 3 , 6 ] ) + 2x = ( [ 5 , -6 ],[ -7 , 4 ]) then x = ?

For a function f(x)=(2(x^(2)+1))/([x]) (where [.] denotes the greatest integer function), if 1lexlt4 . Then

If S=R,A={x:-3lexlt7} and B={x:0ltxlt10} , the number of positive integers in ADeltaB is

Let f(x)={(-1, -2lexlt0),(x^2-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then g(x) in (-2,2) (A) not continuous (B) not differential at one point (C) differential at all points (D) not differential at two points

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

If a = "log"2, b = "log" 3, c ="log" 7 " and " 6^(x) = 7^(x+4) then x=

Let f(x){(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x):{(x^(2),-1lexlt3),(x+2,3lexle5):} then, find f(g(x)) .

2x^(2)x3xy^(2)x4x^(3)y^(5) is equal to: 24x^(6)y^(6)(b)24x^(6)y^(7)24x^(7)y^(6)(d)24x^(7)y^(7)