Question

HELPPP ASPPP PLZZ Select the correct answer

Answer 1

Answer: Choice C

`(2x+3)/(x+2)`

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Work Shown:

`h(x) = f(x) / g(x)\\\\h(x) = (f(x))/(g(x))\\\\h(x) = (2x^2-x-6)/(x^2-4)\\\\h(x) = ((x-2)(2x+3))/((x-2)(x+2))\\\\h(x) = (2x+3)/(x+2)\\\\`

Optional Extra Info:

Keep in mind that
`x \\e 2` and
`x \\e -2` to avoid division by zero errors. We can plug in x = 2 just fine into the simplified version of h(x), but we always need to go back to the original.