Question

f(x) = x-3. Find the inverse of f(x).

Answer 1

Answer:

$f^{-1}(x) = x + 3$

Step-by-step explanation:

Given the function, f(x) = x - 3:

To find its inverse function:

Replace f(x) with y in the original function.

y = x - 3

Next, switch x and y:

x = y - 3

Add 3 to both sides:

x + 3 = y - 3 + 3

x + 3 = y

Replace y with $f^{-1}(x)$:

$x + 3 = f^{-1}(x)$  ← This is the inverse function of f(x) = x-3.

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Answer 2

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