Question

Which represents the inverse of the function f(x) = 5x?

A) h(x) = x + 5
B) h(x) = x - 5
C) h(x) = 5x
D) h(x) = 1/5x

Answer 1

The inverse of the function f(x) = 5x is represented by the function h(x) = x/5.

Step-by-step explanation:

The inverse of the function f(x) = 5x can be found by swapping the roles of x and y in the equation and solving for y. Let's do that:

Step 1: Replace f(x) with y: y = 5x

Step 2: Swap x and y: x = 5y

Step 3: Solve for y by dividing both sides of the equation by 5: y = x/5

So, the inverse of the function f(x) = 5x is represented by the function h(x) = x/5 (Option D).