y = 5/x+4 - 2

Question

(b) The domain of the function is:
A all real numbers.
B all real numbers except x = -4.
C all real numbers except x = 4.
D all real numbers except x = 14.
E all real numbers except x = - 14.
F all real numbers such that - 14≤x≤6.

(c) The range of the function is:
A all real numbers.
B all real numbers except y = 2.
C all real numbers except y = - 6
D all real numbers such that - 12 ≤ y ≤8.
E all real numbers except y = -2.
F all real numbers except y = 6.

Answer 1

(b) The domain of the function is C all real numbers except x = 4.

(c) The range of the function is A all real numbers.

Answer 2

y = 5/x+4 - 2
I can not tell what you mean. Parentheses are important.
If you mean:
y = [ 5/(x+4) ] - 2
then that blows up to infinity when x = -4
so the x domain is all real numbers except x = -4
if x is big negative then y is -2
as x climbs to -4, y goes to plus infinity
so the y range is -2 to +infinity

Answer 3

The corrected interpretation is as follows:

(b) The domain of the function is all real numbers except x = -4.

(c) The range of the function is y ≥ -2.