Find the domain of the functions 1 gx x3 3 h 13 40 21 65 kx

Find the domain of the functions.

1. g(x) = |x-3|

3. h= {(1,-3), (-4,0), (2,1), (6,5)}

Solution

1) g(x) = | x - 3|

the domain of the function is all real values of x

domain = ( -infinity , + infinity )

2) k(x) = (x-1) / (2x+3)

to find the domain set denominator equal to 0

2x +3 = 0

x = -3/2

hence domain is all values of x and x not equal to -3/2

domain : ( -infinity , -3/2 ) U ( -3/2 , + infinity )

3) h= {(1,-3), (-4,0), (2,1), (6,5)

domain is all x values

domain = { 1,-4,2,6}