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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 37

The rational expression F(x)F(x)F(x) is defined by

F(x)=x2−1x2−4÷x+1x+2\displaystyle F(x)=\frac{x^2-1}{x^2-4}\div\frac{x+1}{x+2}F(x)=x2−4x2−1​÷x+2x+1​.

a.

Simplify F(x)F(x)F(x), stating every excluded value of xxx.

[4]
b.

Hence solve F(x)=3F(x)=3F(x)=3.

[2]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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