question\nfind all vertical asymptotes of the following function.\n$f(x)=\\frac{x^{2}+7x + 12}{2x + 8}$\nno…

question\nfind all vertical asymptotes of the following function.\n$f(x)=\\frac{x^{2}+7x + 12}{2x + 8}$\nno vertical asymptotes\none vertical asymptote\ntwo vertical asymptotes\nno vertical asymptotes

question\nfind all vertical asymptotes of the following function.\n$f(x)=\\frac{x^{2}+7x + 12}{2x + 8}$\nno vertical asymptotes\none vertical asymptote\ntwo vertical asymptotes\nno vertical asymptotes

Answer

Explanation:

Step1: Factor the numerator and denominator

Factor (x^{2}+7x + 12=(x + 3)(x+4)) and (2x + 8=2(x + 4)) So (f(x)=\frac{(x + 3)(x + 4)}{2(x + 4)})

Step2: Simplify the function

Cancel out the common factor ((x + 4)) (for (x\neq-4)), then (f(x)=\frac{x + 3}{2}), which is a linear function.

Answer:

No Vertical Asymptotes