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otez555 [7]
3 years ago
12

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

Mathematics
1 answer:
klio [65]3 years ago
5 0

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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