Let f(x) = x2 – 16 and g(x) = x + 4. Find fg f g and its domain.
2 answers:
Answer: x+4; all real numbers except =-4
Step-by-step explanation:
f(x)/g(x) = (x2-16)/(x+4)
The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)
We can simplify by factoring the numerator:
(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)
The domain is the same as the original expression: all real numbers except x = -4
Answer: fg
and
Domain: All real number. All real number or 
Explanation:
fg means product of two given function f(x) and g(x)
where,
and 
Now, we have to find fg
So, fg=
Substitute f(x) and f(x)

Using distributive property simplify above expression and we get,

We can see it is cubic polynomial. So, domain of cubic polynomial is all real number.
Domain: All real number or 
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I think is A I really hope this is right!