SOLUTION: find the domain of the indicated function. Express answers in both interval notation and inequality notation. h(z) = 2/(4-z)

Algebra ->  Functions -> SOLUTION: find the domain of the indicated function. Express answers in both interval notation and inequality notation. h(z) = 2/(4-z)      Log On


   



Question 937715: find the domain of the indicated function.
Express answers in both interval notation and inequality notation.
h(z) = 2/(4-z)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
h%28z%29+=+2%2F%284-z%29 => denominator cannot be equal to zero
if %284-z%29=0 that will not be a fraction; its value is undefined because the denominator has a value of zero
so, find a value that makes denominator equal to zero and exclude it from solution
%284-z%29=0=> z=4
the domain is:
{ z element R : z%3C%3E4 }(assuming a function from reals to reals)
(-infinity,4)U (4%7D%2C%7B%7B%7Binfinity)
or
(-infinity%3C4%3Cinfinity)