To find the domain of the function, we need to identify all the values of x that make the denominator equal to zero. We can set the denominator equal to zero and solve for x:
x^2 + x - 72 = 0
Factoring this equation, we get:
(x + 9)(x - 8) = 0
Setting each factor equal to zero, we find that x = -9 and x = 8.
Since dividing by zero is undefined, the function is not defined for x = -9 and x = 8.
Therefore, the domain of the function is all real numbers except -9 and 8.
In interval notation, the domain is (-∞, -9) ∪ (-9, 8) ∪ (8, ∞).
Find the domain of the function enter your answer in interval notation
f(x)=x^4/x^2+x-72
1 answer