Respuesta :
Answer:
f^(−1)(x)= x/6+4
Step-by-step explanation:
interchange the variables and solve for
y
Inverse of the given function f(x) is f⁻¹(x) = (x/6) + 4.
What is an Inverse function?
- It is defined as, for a one-one function each element of a range of an original function is mapped to the domain of an inverse function.
- Inverse of a given function is possible only of the original function is one-one and onto.
Given: Function
f(x) = 6x - 24
Let, y = 6x - 24
Now, to find the inverse of the given function we need to interchange the values of x and y and then we will solve for y.
⇒ x = 6y - 24
⇒ 6y = x + 24
Dividing both sides by 6, we get:
⇒ y = (x + 24)/6
⇒ y = (x/6) + 4
We can write it as:
f⁻¹(x) = (x/6) + 4
Therefore, the inverse of f(x) = 6x -24 is f⁻¹(x) = (x/6) + 4.
Learn more about the Inverse function here: https://brainly.com/question/14462985
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