cneale03 cneale03

10-08-2016
Mathematics

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Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what is f(x) − g(x)?

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Panoyin Panoyin

11-08-2016

f(x) = ㏒₃(5x - 5)
g(x) = ㏒₃(x - 1)

f(x) - g(x) = ㏒₃(5x - 5) + ㏒₃(x - 1)
f(x) - g(x) = ㏒₃(⁵ˣ⁻⁵/ₓ₋₁)
f(x) - g(x) = ㏒₃(⁵⁽ˣ⁾⁻⁵⁽¹⁾/ₓ₋₁)
f(x) - g(x) = ㏒₃(⁵⁽ˣ⁻¹⁾/ₓ₋₁)
f(x) - g(x) = ㏒₃(5)

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