How do you simplify this function to
$$ f(x)=\frac{2x+1}{x+3}= 2-\frac{5}{x+3} $$
I've tried few different things but none of them seem to work.
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2 Answers
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Observe,
$$f(x)=\frac{2x+1}{x+3}=\frac{2(x+3)-5}{x+3}=\frac{2(x+3)}{x+3}-\frac{5}{x+3}={2}-\frac{5}{x+3}$$
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In this type of question you should work through reverse calculation. Like, What we have to make, $$2-\dfrac{5}{x+3}$$ $$=\dfrac{2(x+3)-5}{x+3}$$ $$=\dfrac{2x+6-5}{x+3}$$ $$=\dfrac{2x+1}{x+3}$$ Hope,it will make sense to you.
answered Oct 3, 2018 at 5:43