You need to put your reindeer, rudy, ezekiel, gloopin, bloopin, and prancer, in a single-file line to pull your sleigh. however, bloopin and rudy are fighting, so you have to keep them apart, or they won't fly. how many ways can you arrange your reindeer?

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.