Question

What is the inverse of the function f(x)=4x?

Answer 1

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

Step-by-step explanation:

The inverse of the function f(x) = 4x can be found by swapping x and y and solving for y.

1. Start with the equation y = 4x.
2. Swap x and y to get x = 4y.
3. Solve for y by dividing both sides by 4: y = x/4.

Therefore, the inverse function of f(x) = 4x is f^(-1)(x) = x/4, where f^(-1)(x) represents the inverse function.

Answer 2

f -1(x) = 4x
If you supply 3 for the function of F so f(3) = 4x then 4 x 3 = 12
The inverse would be
One way to work out an inverse function is to reverse the operations that f carries out on a number. Here is a simple example. We shall set f(x) = 4x, so that f takes a number x and multiplies it by 4: f(x) = 4x (multiply by 4). We want to define a function that will take 4 times x, and send it back to x. This is the same as saying that f −1 (x) divides x by 4. So f −1 (x) = 1 4 x (divide by 4). There is an important point about notation here. You should notice that f −1 (x) does not mean 1/f(x). For this example, 1/f(x) would be 1/4x with the x in the denominator, and that is not the same as 1 4 x.