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Select the correct answer. Which pair of expressions represents inverse functions? A. 4-3x/4x-2 and x 2-2 B. x+3/4x-2 and 2x+3/4x-1 C. and D. and

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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