Find the inverse of the function #f(x)= -5x# How would I do this?

1 Answer
Dec 27, 2017

Answer:

#f^-1(x)=-x/5#

Explanation:

Replace #f(x)# with #y#

#y=-5x#

Replace #y# with #x# and vice versa:

#x=-5y#

Solve for #y#:

#-x/5=y# (Divide by #-5# to isolate #y#)

#y=-x/5# (Rewrite so that #y# is the subject of the equation)

#therefore f^-1(x)=-x/5#