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Sagot :
Answer: the correct answer is C
Step-by-step explanation:
The correct answer is C. f(x) = 4x - 2 and g(x) = (x + 2) / 4.
Explanation:
Inverse functions are functions that "reverse" each other's operations. In other words, if f(x) is an inverse function of g(x), then f(g(x)) = x and g(f(x)) = x.
Let's analyze the given options:
A. 4 - 3x/4x - 2 and x^2 - 2 are not inverse functions.
B. x + 3/4x - 2 and 2x + 3/4x - 1 are not inverse functions.
C. f(x) = 4x - 2 and g(x) = (x + 2) / 4 are inverse functions because:
f(g(x)) = 4((x + 2) / 4) - 2 = x + 2 - 2 = x
g(f(x)) = ((4x - 2) + 2) / 4 = 4x / 4 = x
So, option C represents inverse functions.
D. and are not inverse functions (this option is incomplete).
Therefore, the correct answer is C.
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