Consider the following. g(x) = (x^2 - x - 12) / (x^2 - 36) (a) State the domain of the function. all real numbers all real numbers x except x = 6 all real numbers x except x = 36 all real numbers x except x = -6 and x = 6 all real numbers x except x = -6 (b) Identify all intercepts. (Enter NONE in any unused answer blanks.) x-intercepts (x, y) = ( , ) (smaller x-value) (x, y) = ( , ) (larger x-value) y-intercept (x, y) = ( , ) (c) Find any vertical and horizontal asymptotes. (Enter NONE if there is no asymptote.) vertical asymptotes x = (smaller value) x = (larger value) horizontal asymptote y =
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First, let's rewrite the given function in a more readable format: $$ g(x) = \frac{x^2 - 36}{x - 6} $$ (a) Show more…
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