How do you find the inverse of #f( x ) = - 5x - 8#?

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Answer 1 · 2017-03-29T22:44:25

#f^-1(x)=-(x+8)/5#

Set #f(x)=y#

#y=-5x-8#

Switch #x# with #y#:

#x=-5y-8#

Solve for y:

#x+8=-5y#

#(x+8)/-5=y#

Rewrite it so y is on the left side.

#y=(x+8)/-5#

Write #y# as #f^-1(x)#

#f^-1(x)=-(x+8)/5#