Question

What exclusions are placed on the variable a for the fraction a^2 m+4m/a^2 +4?

Answer 1

a^2 m+4m/a^2 +4

There are no restrictions on m, m can be any numbers

but 

a^2 can not equal negative 4 (-4)

Answer 2

Answer:

The value of a can be any real number.

Step-by-step explanation:

The given expression is,

$\frac{a^2m+4m}{a^2+4}$

Taking m common from the numerator.

$\frac{a^2m+4m}{a^2+4}=\frac{(a^2+4)m}{a^2+4}$

Cancel out the common factor.

$\frac{a^2m+4m}{a^2+4}=m$

Therefore the value of a can be any real number.

The given expression is not defined, where the value of the denominator is 0.

$a^2+4=0$

$a^2=-4$

$a=\pm\ 2i$

Therefore the given expression is not defined for complex numbers 2i and -2i.