this is general mathematics, can you answer this?
Answer (1)
Answer:See below.Step-by-step explanation:f(x) = 5x/(2x-8)Let's use y for f(x):y = 5x/(2x-8)Let's simplify: y = 5x/(2(x-4))There isn't much that can be done other than to note that division by zero is not allowed in math. The denominator is 2(2x-4). This means x cannot be 2. This equation produces an interesting graph (attached).=====================f(x) = (x - 1)/(x^2 - 4)(x^2 - 4) is a difference of squares, so we can write: (x^2 - 4) = (x + 2)(x - 2)Rewritten:f(x) = (x - 1)/(x + 2)(x - 2)Since this is the denominator, x cannot be either 2 or -2This also has an interesting graph (attached)
