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3 years ago

If f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer:

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

Step-by-step explanation:

f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

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

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

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2 years ago

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3 years ago

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2 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

ddd [48]

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step explanation:

Given as :

The initial population of bacteria = i = 1,000 bacteria

The growth rate of bacteria per day = 15%

Let The population of bacteria after 6 days = f

The time period of growth = 6 days

<u>Now, According to question</u>

The population of bacteria after 6 days = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, f = i × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, f = 1000 × $(1+\dfrac{\textrm 15}{100})^{\textrm 6}$

Or, f = 1000 × $(1.15)^{6}$

Or, f = 1000 × 2.31306

∴ f = 2,313.06

So,The population of bacteria after 6 days = f = 2,313.06

Hence,The population of bacteria after 6 days is 2,313.06 Answer

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3 years ago