Question

find the domain and range of the function f(x) = 4/√8-x​

Answer 1

Step-by-step explanation:

The domain of a rational function is all the values except for those which that make it undefined. In other words, the denominator of a rational function cannot be

0

.

To find which values exactly make the rational function undefined, we set the denominator not equal to

0 and solve for

x x+4≠0x+4−4≠0−4x≠-4What we have solved for tells us thevalues ( x−values to be precise) that cannot be in the domain.

Therefore our domain is all real numbers except

−4 . In interval notation, this is:(−∞,−4)∪(−4,∞)What this tells us about the graph as well is that there is a vertical asymptote defined by the line

x=−4