How do you find the inverse of Y=5X-1Y=5X−1 and is it a function?

1 Answer
Binayaka C.
Jun 27, 2018

f^(-1)(x)=(x+1)/5 f−1(x)=x+15 , it is a function since one output f^(-1)(x)f−1(x)for each input of xx is obtained by the equation.

Explanation:

f(x)= 5 x-1 or y = 5 x-1 f(x)=5x−1ory=5x−1

x = 5 y-1 x=5y−1 [ switched between xx and yy then solved for yy]

5 y= x +1 or y = (x+1)/55y=x+1ory=x+15

:. f^(-1)(x)=(x+1)/5 , it is a function since one output f(x)

for each input of x is obtained by the equation. [Ans]

Related questions
See all questions in Function Composition
Impact of this question
7675 views around the world
You can reuse this answer
Creative Commons License