SOLUTION: find domain f(x)= x^4-2x^3+7 / 3x^2-10^x-8

Question 97438: find domain
f(x)= x^4-2x^3+7 / 3x^2-10^x-8
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

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:

or

or Now solve for x in each case

Since or make the denominator equal to zero, that means we must exclude these values from the domain.

So our domain is: x is the set of all real numbers except or

Which looks like this in interval notation:

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