Answer:
[tex]f^{-1}(x) = x + 3[/tex]
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 [tex]f^{-1}(x)[/tex]:
[tex]x + 3 = f^{-1}(x)[/tex] ← This is the inverse function of f(x) = x-3.
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