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StepMaths Mock Paper 1 · Q4

Paper 1Functions & graphsAlgebra

The function f(x)f(x) satisfies the following equation for x≠1x\ne1:

f(x)+xf(1−x)=xx−1f(x)+xf(1-x)=\frac{x}{x-1}

Given that f(2)f(2) can be written as a fraction ab\dfrac ab in its lowest terms, find the value of a+ba+b.

A−2-2
B−1-1
C22
D44
E55

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