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Given (x+2)(y+3)=1, write y in the form y = racax+p + q.

Mathematics

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Here's the continuation of the solution for Question 1:

1.2 Write gg in the form y=ax+p+qy = \frac{a}{x+p} + q.

Step 1: Start with the given equation for gg and the value of tt found in 1.1.2.1.
We have (x+2)(y+3)=t(x+2)(y+3) = t. From 1.1.2.1, t=1t=1.

(x+2)(y+3)=1(x+2)(y+3) = 1

Step 2: Isolate y+3y+3.

y+3=1x+2y+3 = \frac{1}{x+2}

Step 3: Isolate yy.

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