Identify the discontinuities, graph, and find the zeros of each rational function. f(x) = (x^2 + 10x + 24) / (x + 6)

Question

johnweldon1993 · Answer

Can you factor the top?

johnweldon1993 · Answer

Here I'll get you started

$$\large x^2 + 10x + 24 \space\text{becomes} \space (x + 4)(x + 6)$$

Now we have

$$\large \frac{ (x + 4)(x + 6) }{ (x + 6) }$$

or when simplified...

$$\large (x + 4)$$

So what is our 0?

$$\large x + 4 = 0$$

what is 'x'...?

johnweldon1993 · Answer

That will be the zero of the graph...to find the discontinuity's you find what values of 'x' make your denominator = 0

$$\large x + 6 = 0$$

what is 'x' here?