What is the inverse of the function below?
f(x) =X/3-2
A. f^-1(1x) = 2(x-3)
B. f^-(1x) = 3(x-2)
c. f^-1(x) = 3(x + 2)
D. f^-1(x) = 2(x + 3)

Respuesta :

Answer: C

Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.

1. Multiply by 3

2. Add 2

Equation by itself

0. x

1. 3(x)

2. 3(x+2)

The inverse of the given function is f⁻¹(x) = 3(x + 2).

What is the inverse of a function?

The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).

The given function in the question:

f(x) = (x/3) - 2

f(x) + 2 = x/3

x + 2 = f⁻¹(x)/3

f⁻¹(x) = 3(x + 2)

Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).

Learn more about inverse on:

https://brainly.com/question/3831584

#SPJ2