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

1 Answer
Binayaka C.
Jun 27, 2018

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

Explanation:

# f(x)= 5 x-1 or y = 5 x-1 #

#x = 5 y-1 # [ switched between #x# and #y# then solved for #y#]

# 5 y= x +1 or y = (x+1)/5#

# :. 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]

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