For and , simplify…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For f(x)=x2−1f(x)=x^{2}-1 and g(x)=x−1g(x)=x-1, simplify (fg)(x)\left(\dfrac{f}{g}\right)(x). (a) (x2−1)(x−1) (x^{2}-1)(x-1) (b) x−1 x-1 (c) x+1 x+1 (d) x2−1x−1\dfrac{x^{2}-1}{x-1}

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