Which of the following is the inverse of f(x)=3-x/5?
2 answers:
Answer:
-5x+3 OR 5x-3
Step-by-step explanation:
You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case, the closest answer would be 5x-3 .
UPDATE: -5x + 3 can be written as 3 - 5x lol
Answer:
B. f⁻¹(x) = 3 - 5x
Step-by-step explanation:
f(x) = (3 - x)/5
Replace f(x) with y.
y = (3 - x)/5
Switch the variables.
x = (3 - y)/5
Multiply both sides by 5.
5x = 3 - y
Subtract 3 from both sides.
5x - 3 = -y
Multiply both sides by -1.
y = -5x + 3
Apply commutative property.
y = 3 - 5x
Replace y with f⁻¹(x).
f⁻¹(x) = 3 - 5x.
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