The value of f(g(2)) is 2 since g(x) is the inverse of f(x).
What is an inverse function?
An inverse function that does the opposite operation of the actual function. It is denoted by f⁻¹(x).
Calculation:
The given function is f(x) and g(x) is the inverse of f(x) i..e, g(x) = f⁻¹(x).
Then,
f(g(x)) = f(f⁻¹(x))
= x
Thus,
f(g(2)) = 2 (since x=2)
Therefore, the value of f(g(2)) = 2.
Learn more about the inverse function here:
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