The inverse function of the the function y = 3x - 24 is y = x/3 + 24. Then the correct opion is A.
What is the inverse of a function?
Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
The function is given below.
y = 3x - 24
Then the inverse of the function will be
x = 3y - 24
3y = x + 24
y = x /3 + 8
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