Find those `x` satisfying each of the equations below:
i)`|x-1|=|x-3|`
ii)`|x-3|=|x-4|`
iii)`|x+2|=|x-5|`
iv)`|x|=|x+1|`

a) What is the number which gives midpoints of the points denoted by the numbers x and y on the number line. b) If the numbers x and y are thought of as points on a number line, what is the geometrical meaning of |x-y| ? c) .Find those x satisfying each of the equations below. i) |x-1|=|x-3| ii) |x-1|=|x+3| ifi) |x+1|=|x-3|

Find the domain of the following. f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the domain of the function f(x)=(x^2+3x+5)/(x^2-5x+4)

Find the derivative of the function f(x) = 2x^2 + 3x + 5 at x = 1

Find the domain and range of the following functions: i) f(x)=1/(sqrt(x-5)) ii) f(x)=x/(1+x^2) .

The roots of the equation |(1+x,3,5),(2,2+x,5),(2,3,x+4)|=0 are