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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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