Asked by taylor

What is the domain of
(fg)(x)
f(x)=x2–4
g(x)=3x2

answer choices are
0
all real numbers except -2 and 2
all real numbers except 0
-2 and 2
all real numbers

Answers

Answered by taylor
does anybody know the answer
Answered by mathhelper
I will read that as
(f (g(x) )
= f(3x^2)
= (3x^2)^2 - 4
= 9x^4 - 4

Clearly the domain is the set of reals

We could have seen that without actually doing any work
Since no division took place, (worry about dividing by zero),
and no operations such as square roots were found, it was
obvious that we would get results no matter what x's we used.
Answered by oobleck
or, if (fg)(x) = f(x)*g(x) the same logic applies. It's still just a polynomial, and the domain is all real numbers.
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