Answer:
Confirmed!
Step-by-step explanation:
For two functions, f(x) and g(x), to be inverses, they must fulfill the condition:
f(g(x)) = x and g(f(x)) = x.
Verification: A. f(x) = 7x³ + 10 and g(x) = ∛
Thus, f(g(x)) = 7(
)³ + 10.
This leads to: 7(
) + 10 = x - 10 + 10 = x (*This is correct!)
Now, g(f(x)) =
When ten cancels out, we are left with:
=
= x (* This is also correct!)