g(x)= 8/10-9x

would the correct answer be
a) {xIx is a real number and x ==/== 10/9?

b){xIxis a real number and x equals lesser or equal to >_ 10/9

c){xIx is a real number and x =/= 0

d){xIx is a real number and x =/= 8

my answer is c is this correct?

3 answers

No, c is not correct.

In each of the other cases, what happens when x is the number given:

a) 8/(10-90/9)

b) x < 10/9, say 1/9 -> 8/(10-9/9)

d) 8/(10-72)

One of these three is undefined. Which?
would the answer be d?
On what grounds do you choose d?
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