Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
