For each function find all numbers that are not in the domai

For each function, find all numbers that are not in the domain. Then give the domain in set notation. Show how you get your answer

f(x) = (8x -3)/(2x+7)

all real expect where Deominator. is zero. 2x+7=0

x= -7/2

Domain :( -inf, -7/2) U (-7/2 , inf)

f(x) (2x+4)/(3x^2 +11x -42)

Domain : all real expect where Deominator. is zero.

3x^2 +11x-42 =0

3x^2 + 18x -7x -42 =0

3x(x +6) -7(x +6) =0

(3x -7)(x+6) =0

x=-6 ; x= 7/3

Domain: (-inf, -6) U (-6 , 7/3) U (7/3 , inf)