Question

Which represents the inverse of the function f(x) = 4x?

A) h(x) = 1/4x
B) h(x) = x + 4
C) h(x) = 3/4x
D) h(x) = x - 4

Answer 1

The inverse of the function f(x) = 4x is h(x) = 1/4x, which undoes the operation performed by f(x).

Step-by-step explanation:

The inverse of a function f(x) essentially reverses the operation of f(x). For the function f(x) = 4x, you would look for a function h(x) that when composed with f(x), gives you the identity function, which is x. This means that for h(f(x)), you should get x. Therefore, the inverser of the function f(x) = 4x is h(x) = rac{1}{4}x, which is represented by option A).

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