SOLUTION: My book doesn't give much help on solving this. Find the domain of f(x)3x+1/ x^2+4

Question 102466: My book doesn't give much help on solving this. Find the domain of f(x)3x+1/
x^2+4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function

Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.

Subtract 4 from both sides

Take the square root of both sides

Since you cannot take the square root of a negative number and get a real number, the result will be imaginary

So that means there are no real numbers which will make the denominator equal to zero

So the domain is:

x is the element of all real numbers
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