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Julli [10]
3 years ago
13

Taletha is preparing for an exam in Algebra II. She knows she will be expected to determine if two functions are inverses of eac

h other using composition of functions. Which compositions would she use to prove f(x) and g(x) are inverse functions?
f ○ g(x) = and g ○ f(x) =

⊝


f ○ g(x) = x and g ○ f(x) =

⊝


f ○ g(x) = x and g ○ f(x) = x

⊝


f ○ g(x) = and g ○ f(x) = x
Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

f ○ g(x) = x and g ○ f(x) = x  is the correct composition

Step-by-step explanation:

INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),

such that x = f^{-1} (y) =  g(y)

Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:

1. f  o g(x)   =   f(g(x))= x

2. g o f(x)  =  g(f(x))   = x

If any two functions satisfy these two conditions, then they are inverse of each other.

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MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 tim
kati45 [8]

Answer:

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Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed (4\frac{2}{7}) pounds. She also bought a bag of turnips that weighed (1\frac{1}{3}) times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = 4\frac{2}{7} = \frac{30}{7} pounds

Now, it is stated that she bought a bag of turnips that weighed (1\frac{1}{3}) times as much as the parsnips, that means;

Weight turnips bag = \frac{4}{3} \times \frac{30}{7}

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Answer:

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