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kotykmax [81]
3 years ago
8

Are f and g inverses of each other? Support your response algebraically

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

g(f(x)) = g(x + \frac{1}{2}) = x + \frac{1}{2} - \frac{1}{2} = x

Hence f(x) and g(x) are the inverse of each other


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