X plus 2 squared

Asked by maham237 @ in Mathematics viewed by 277 People

What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12 ?

Answered by maham237 @


Answer:

x=-3, x=4

Step-by-step explanation:

we have

\frac{x^{2}+2x+3}{x^{2}-x-12}

we know that

The denominator can not be zero

Find the roots of the quadratic equation of denominator

x^{2}-x-12=0

using a graphing tool to resolve the quadratic equation

see the attached figure

The solutions are

x=-3, x=4

so

x^{2}-x-12=(x+3)(x-4)

therefore

we have

\frac{x^{2}+2x+3}{(x+3)(x-4)}

The values x=-3, x=4 are discontinuity of the original function


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