Given f (x) = -3x+8, find f^-1 (x) then state wheter F^-1 (x) is a function

f⁻¹ (x) = (8-x) / 3 and it is a Function.

Step-by-step explanation:

Given is f (x) = - 3x+8

Suppose y = f (x), then y = - 3x + 8

Solving for x:-

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y) / 3

Now interchanging x and y:-

y = (8-x) / 3

Here, y is inverse function i. e. f⁻¹ (x)

Hence, f⁻¹ (x) = (8-x) / 3

Since f⁻¹ (x) is a linear expression of x, therefore it is a function.