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?
To determine the correct answer choice, let's first simplify the given function:
g(x) = 8/(10 - 9x)
Now, let's take a look at the answer choices and analyze each one.
a) {x | x is a real number and x ≠ 10/9}
This choice states that the function is defined for all real numbers except x = 10/9. However, since there is no restriction in the denominator (10 - 9x), this is not the correct choice.
b) {x | x is a real number and x ≤ 10/9}
This choice implies that x can have any value less than or equal to 10/9. However, this also does not match the original function's restrictions.
c) {x | x is a real number and x ≠ 0}
This choice states that x can take any real value except x = 0. Although this is a valid statement, it does not reflect the restrictions in the original function.
d) {x | x is a real number and x ≠ 8}
This choice implies that x can have any value except x = 8. However, there is no restriction on x = 8 in the original function either.
Based on the analysis, none of the answer choices provided fully matches the restrictions in the given function. Therefore, there doesn't seem to be a correct answer among the choices presented.