Sorry I got to finish D, D should be,
“D. a (greater than or equal to) 0
For what values of a is the expression a(4a-16a)/a*|a|+a^2 undefined?
A. a=4
B. a (less than or equal to) 0
C. a=16
D. a (greater than equal to)
2 answers
as written,
a(4a-16a)/a*|a|+a^2 = (4a-16a)*|a|+a^2
for a≠0
The only thing in the denominator is a.
Now, assuming the usual carelessness with parentheses, you might mean
a(4a-16a)/(a*|a|+a^2)
Since |a| = a for a>=0, the denominator is only zero for a=0
|a| = -a for a<0, so the denominator is -a^2+a^2 = 0 for all a<0. So, (B)
In either case, not sure why you wrote 4a-16a, since that's always -12a for any value of a
a(4a-16a)/a*|a|+a^2 = (4a-16a)*|a|+a^2
for a≠0
The only thing in the denominator is a.
Now, assuming the usual carelessness with parentheses, you might mean
a(4a-16a)/(a*|a|+a^2)
Since |a| = a for a>=0, the denominator is only zero for a=0
|a| = -a for a<0, so the denominator is -a^2+a^2 = 0 for all a<0. So, (B)
In either case, not sure why you wrote 4a-16a, since that's always -12a for any value of a
3 answers