Question

F:{0,1,2,3,4}→{0,1,2,3,4}f(x)=4− select the correct statement about the inverse of f.

a.f−1(x)=4+x
b.f−1(x)=4−x
c.f−1(x)=x/4
d.f does not have a well-defined inverse.

Answer 1

The inverse of the given function f(x) = 4 - x is f^-1(x) = 4 - x.

Step-by-step explanation:

The given function is f(x) = 4 - x. The question asks about the inverse of f(x). To find the inverse of a function, we need to swap the roles of x and y and solve for y. So, let's begin:

Step 1: Replace f(x) with y. Then, the equation becomes y = 4 - x.

Step 2: Swap x and y. The equation becomes x = 4 - y.

Step 3: Solve for y. Subtract x from both sides to isolate y. The equation becomes y = 4 - x.

Step 4: Replace y with f(x) to get the inverse function. So, the inverse of f(x) is f-1(x) = 4 - x.