Question

If f(x)= x-3 which of the following is the inverse of f(x)

Answer 1

To find the inverse of f(x) = x - 3, replace f(x) with y, swap x and y, and solve for y to get the inverse function, which is f⁻¹(x) = x + 3.

Step-by-step explanation:

If f(x) = x - 3, to find the inverse function, we need to swap the x and f(x) and solve for the new f(x). The steps are:

1. Replace f(x) with y: y = x - 3.
2. Swap x and y: x = y - 3.
3. Solve for y: y = x + 3.

The inverse function is f⁻¹(x) = x + 3.

In terms of the reference information provided, the concept of inverse functions is like how subtraction is the inverse of addition, or how the exponential function is undone by the logarithm.