What is the domain of the following "4-x^2"

Question

nenadmatematika · Answer

every x from -infinity to +infinity

anonymous · Answer

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?

nenadmatematika · Answer

just write x $$\epsilon$$ R

anonymous · Answer

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