Question

What is the inverse of

f(x) = −3x + 5?
5
of ¹(x) = x - 3
○ f¹(x) = −3x + 5
5
o f-¹(x) = -x +
○ f−¹(x) = 3x − 5

Answer 1

The inverse of the function f(x) = -3x + 5 is
`f^(-1)(x)= -(x)/(3)+(5)/(3)`

What is the inverse of a function?

The inverse of a function is changes what occurred in the original function. Suppose we have a function f(x) that assign an element X and maps it to Y. The inverse of the function switches this process, represented by
`f^(-1)` and maps element Y to X.

The inverse of the function f(x) = y = -3x + 5 can be determined by the following process. Let's interchange y with x, such that:

x = -3y + 5

3y = -x + 5

Divide both sides by 3

`(3y)/(3) = (-x+5)/(3)`

`y} = -(x)/(3)+(5)/(3)`

`f^(-1)(x)= -(x)/(3)+(5)/(3)`

Therefore, the correct inverse of the function f(x) = -3x + 5 is
`f^(-1)(x)= -(x)/(3)+(5)/(3)`