Medal if someone helps me understand this!!!!! Look at the following expression. Are there any values of x for which the expression is not defined under the set of real numbers? Explain your reasoning. 4/sqrtx+2
\[\frac{ 4 }{ \sqrt{x+2} }\]
there are a few major rules in math that must not be broken ... one of them is dividing by zero
another major rule is, you CANNOT have a real solution to the sqrt of a negative number
So the only number i could use is 0?
what we need for this to be valid is the underside part to conform to the rules: it cant equal 0, and the innards have to remian postivie
yeah that i know but its asking me to plug in a number that is not real as x
x+2 > 0 has to fit
a number that aint real?
Are there any values of x for which the expression is not defined under the set of real numbers? its asking for the domain or real
Yeah so either 0 or an imaginary number such as 5i
*of real
its asking to restrict your results to real solution ...
So there really arent any number to plug in that are nureal then?
unreal
in other words, sqrt(-4) is not a real value :)
correct
ok i understand! thanks so much.
your welcome
If x+2 <= 0 the world implodes
Join our real-time social learning platform and learn together with your friends!