Question

What is the domain of the function f(x) = {5x^3 - 9x^4}/{x^2 - 3x^2} ?

a) All real numbers

b) x ≠ 0, 3

c) x ≠ 0

d) x ≠ 3

Answer 1

The domain of the function f(x) = (5x^3 - 9x^4)/(x^2 - 3x^2) is x ≠ 0.

Step-by-step explanation:

The domain of the function f(x) = (5x^3 - 9x^4)/(x^2 - 3x^2) can be determined by finding the values of x that make the denominator equal to zero. In this case, the denominator is x^2 - 3x^2, which simplifies to -2x^2. The denominator is equal to zero when -2x^2 = 0, which means that x = 0

Therefore, the domain of the function is x ≠ 0.