jovashrestha jovashrestha

08-06-2020
Mathematics

contestada

If f(3x − 1) = 6x − 1, find f(x) and f(0)

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LammettHash LammettHash

08-06-2020

f(3x - 1) = 6x - 1

Rewrite 6x - 1 as a function of 3x - 1:

6x - 1 = 6x - 2 + 1 = 2(3x - 1) + 1

That is,

f(3x - 1) = 2(3x - 1) + 1

which means

f(x) = 2x + 1

and so

f(0) = 2*0 + 1 = 1

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