Mathematics

Mathematics

Problem

Let g(x)=3x−4x2−x−6.g(x)=\frac{3x-4}{x^{2}-x-6}. (i) Factorise the denominator of g(x)g(x) completely. (ii) Determine the domain of gg in set-builder form. (iii) Express the same domain using interval notation. (iv) State the excluded values on the real number line by naming them in ascending order.

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