Determine the x-intercept(s) of the rational function: f(x) = (x ^ 2 - 16)/(x ^ 2 - 2x - 3)

Mathematics

1 answer:

elena55 [62]1 year ago

3 0

Answer:

(-4,0) and (4,0)

Step-by-step explanation:

The x-intercepts occur for values of x where f(x) = 0.

f(x) = 0 when the nominator ( $x^{2} - 16$ ) = 0.

$x^{2} -16$ is a difference of squares,
so you can factor it as (x + 4)(x – 4)

When x = –4 or x = 4, the nominator is 0, and f(x) = 0

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