What is the domain of the function f(x)=1/(x-3)?

Domain means the numbers you can use (basically, all real numbers except for those that make undefined stuff, like dividing by zero or having square root of negative)

ok so
1/(x-3)
no sqare roots so
find what numbers make divion by 0
1/(x-3)
1/0=1/(x-3)
0=x-3
3=x
3 makes a division by 0
3 is not allowed

domain is all real numbers except for 0

c) 6

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6