Question

F(x)=X+1/x²-4

Given the function, f(x)
choose the correct vertical asymptote(s).
a) x=2
b) x=−2
c) x=1
d) x=−1

Answer 1

The function f(x) = x + 1/x² - 4 has vertical asymptotes at x = 2 and x = -2, where the function is undefined because the denominator equals zero.

Step-by-step explanation:

The correct vertical asymptote(s) for the function f(x) = ​​​x + 1/x² - 4 can be determined by finding the values of x for which the denominator equals zero, as this would make the function undefined. The denominator of the function is x² - 4, which can be factored into (x + 2)(x - 2). Therefore, the function is undefined at x = 2 and x = -2, which means that the correct vertical asymptotes are x = 2 and x = -2.