Define . Perform the steps…

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Define h(x)=1x−1+3x+4h(x)=\dfrac{1}{x-1}+\dfrac{3}{x+4}. Perform the steps given: (i) Combine the two terms into a single rational expression in its simplest form. (ii) From the simplified form, list every real number that must be excluded from the set of permissible inputs. (iii) State the domain of hh using interval notation.

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