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Solution:
Given: Function f(x) = x + 2
Now we have to find the inverse of the given function.
Step 1 : Substitute function is equal to y.
f(x) = y
⇒ y = x + 2
Step 2 : Now interchange x and y
⇒ x = y + 2
Step 3 : Now solve the equation for y
⇒ y = x - 2
Since we swapped x and y we have y = f⁻¹(x)
f⁻¹(x) = x - 2
Summary:
The inverse of the function f(x) = x + 2 is f⁻¹(x) = x - 2.