How do you find the inverse of #2x+3=y#?
1 Answer
Jan 15, 2016
#f^-1(x) = 1/2 (x - 3 )#
Explanation:
To find the inverse of this function - change the subject to x.
2x + 3 = y
# rArr 2x = y - 3 rArr x = 1/2 (y - 3 ) # The inverse is usually written in terms of x.
#rArr f^-1(x) = 1/2 (x - 3 ) # As a check : if x = 2 then y = 2(2) + 3 = 4 + 3 =7
now if y = 7 : then x =
#1/2 (7 - 3 ) = 1/2 xx 4 = 2#
