If a bacteria population starts with 150 bacteria and doubles every four hours, then the number of bacteria after t hours is n = f(t) = 150 · 2t/4. (a) Find the inverse of this function.

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If a bacteria population starts with 150 bacteria and doubles every four hours, then the number of bacteria after t hours is n = f(t) = 150 · 2t/4. (a) Find the inverse of this function.

Mathematics
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please help!!!1
Just express t in terms of f(x), thus: t = 4f(t)/150 You could then calculate after how many hours the population was, say, 1050. Answer t = 1050 times 4/150 = 28 hours
can you show me how you got this please

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Other answers:

i think it is \[150\times 2^{\frac{t}{4}}\]
so inverse is \[\frac{4ln(\frac{x}{150})}{ln(2)}\]

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