Question

State the domain of the rational function
f(x) = 6 DIVIDED BY 4-x

Answer 1

this is the function
\[\Large f(x) = \frac{6}{4-x}\]
right?

Answer 2

yes

Answer 3

recall that you cannot divide by zero

if 4-x were equal to zero, then

4-x = 0
x = ???

Answer 4

tell me what you get when you solve 4-x = 0 for x

Answer 5

Openstudy keeps kicking me off, sorry.
x=4

Answer 6

yes, so if x = 4, then the denominator is 0

Answer 7

we must kick x = 4 out of the domain. The value of x can be any other number you want

Answer 8

The answer would be "All real numbers except 4" then, correct?

Answer 9

`The answer would be "All real numbers except 4" then, correct?`
that is correct