Question

Determine the inverse of f(x)=x-2 algebraically

Answer 1

The answer is

f-¹(x) = x + 2

Explanation:

To find the inverse of f(x) equate f(x) to y

That's

y = f(x)

y = x - 2

Next interchange the terms.

That's x becomes y and y becomes x

We have

x = y - 2

Make y the subject

Send 2 to the left side of the equation

y = x + 2

We have the final answer as

f-¹(x) = x + 2

Hope this helps you