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1 Pure Mathematics

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Question 412

The functions f f\,f and g g\,g are defined for all real values of x x\,x by

f(x)=x3f(x) = x^3f(x)=x3 and g(x)=x2−1g(x) = x^2 - 1g(x)=x2−1

a.

Write down expressions for fg(x)fg(x)fg(x) and gf(x)gf(x)gf(x).

[2]
b.

Hence find the values of x x\,x for which gf(x)−fg(x)=18gf(x) - fg(x) = 18gf(x)−fg(x)=18.

[4]
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1 Pure Mathematics Questions

  1. A Level
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