## anonymous 4 years ago What is the domain of the following "4-x^2"

every x from -infinity to +infinity

2. anonymous

How do you write this in set notation? is it "{x:xCR}" where R represents real and I'm not sure what the C is?

just write x $\epsilon$ R

4. anonymous

Now let's find the domain of f(g(x)) Start with the given function Plug in Multiply EVERY term by the inner LCD to clear out the inner fractions. Distribute Combine like terms. Set the denominator equal to zero Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So we must take out of the domain (since this value causes a division by zero) So the domain of f(g(x)) is: x can be any real number but . In addition, we made a previous statement that So this means that the domain of f(g(x)) in interval notation is

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