Question

The function f(x)=(x-3)/(x²+2x-8) is undefined when x equals (1) 2 or -4 (3) 3 , only (2) 4 or -2 (4) 2 , only

Answer 1

The function f(x) = (x-3)/(x²+2x-8) is undefined when x equals 4 or -2.

Step-by-step explanation:

The function f(x) = (x-3)/(x²+2x-8) is undefined when x equals 4 or -2.

To find the values of x that make the function undefined, we need to determine when the denominator (x²+2x-8) equals zero. We can factor the denominator to find the roots:

x²+2x-8 = (x-2)(x+4)

So, the function is undefined when x = 2 or x = -4. Therefore, option (1) is correct.