Answer:
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.
