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To find the inverse of the function f(x) = 3x – 2, we need to switch the roles of x and y and solve for y.
Starting with the original function:
y = 3x – 2
Switching the roles of x and y:
x = 3y – 2
Now, we solve this equation for y.
x = 3y – 2
x + 2 = 3y
(1/3)(x + 2) = y
So, the inverse of the function f(x) = 3x – 2 is:
f^(-1)(x) = (1/3)(x + 2)
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