Find (f∙g)(x) (hint: After you multiply them, factor both the numerator and denominator. Is there anything that cancels out?): f(x)=2/(x^2-4) g(x)= x^2+4x+4 2. What is the domain and range of (f * g)(x) from number 1? (Hint: Find the domain of f(x) and g(x) first, then look at (f*g)(x) and put them all together.

The domain of is .

Step-by-step explanation:

Given that,

and

The function f(x) is not defined when the denominator equals zero, i.e

So, the domain of f(x) is all real number except .

for

The function g(x) is defined for all real numbers.

for

As

this resulting function have the common domain of f(x) and g(x).

So, from equation (i) and (ii), the domain of is all real numbers except . i.e

 for

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step-by-step explanation:

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step-by-step explanation: